### Which is equivalent to fractions?

Think of it like this: imagine you have a pizza cut into 8 slices. You eat 2 slices, which is the same as eating 2/8 of the pizza. Now, imagine someone else cuts the same pizza into 16 slices. If they eat 4 slices, that’s the same as 4/16 of the pizza. Even though they ate different numbers of slices, they both ate the same amount of pizza. 2/8 and 4/16 are equivalent fractions.

You can create an infinite number of equivalent fractions for any given fraction by multiplying both the numerator and denominator by the same number. This doesn’t change the value of the fraction, it just changes the way it looks.

Here are some examples:

* 1/2 is equivalent to 2/4, 3/6, 4/8, and so on.

* 3/4 is equivalent to 6/8, 9/12, 12/16, and so on.

To understand if two fractions are equivalent, you can simplify them. Simplifying a fraction means dividing both the numerator and denominator by their greatest common factor (GCF). If the simplified fractions are the same, then the original fractions are equivalent.

For example, to simplify 6/8, you can divide both the numerator and denominator by 2, which gives you 3/4. Since 3/4 is the simplest form of both 6/8 and 3/4, they are equivalent fractions.

Understanding equivalent fractions is important because it helps you to work with fractions more easily. For example, when adding or subtracting fractions, it’s often helpful to find equivalent fractions with a common denominator.

### What fraction is equivalent to 3800 + 19000?

First, we need to simplify the expression. 3800 + 19000 = 22800. Now, we’re looking for a fraction that represents 22800.

To do this, we’ll find the greatest common factor (GCF) of both 22800 and 1. The GCF is the largest number that divides evenly into both numbers. In this case, the GCF is 1.

Now, we divide both the numerator and denominator by the GCF: 22800 ÷ 1 = 22800 and 1 ÷ 1 = 1.

Therefore, the fraction equivalent to 3800 + 19000 is 22800/1.

A Note about Fractions

Fractions represent a part of a whole. The top number (numerator) tells you how many parts you have, and the bottom number (denominator) tells you how many parts make up the whole.

In this case, the fraction 22800/1 indicates that we have 22800 parts out of a whole that consists of only 1 part. Essentially, this means we have 22800 times the whole.

Fractions can be simplified by dividing both the numerator and denominator by their greatest common factor. This simplifies the fraction without changing its value. It makes the fraction easier to understand and work with.

### What is 1 ⁄ 3 called?

In math, we can express one third in a few ways:

1/3 is the most common way to write it as a fraction.

0.333333333… is its decimal representation, which goes on forever.

So, next time you see one third, you’ll know it’s just another way to say one out of three equal parts.

It’s important to note that one third is a rational number because it can be expressed as a fraction. It’s also a repeating decimal because its decimal form goes on forever and repeats the digit 3.

Here’s a fun fact: one third is one of the simplest fractions, but it can also be tricky to work with because it results in a repeating decimal. This makes it a bit different from other fractions like one half (1/2), which has a simple decimal representation (0.5).

Now that you know what one third is called, you can confidently use it in your everyday conversations and calculations!

### How many 3/4 are in 1?

You can figure this out by dividing 1 by 3/4. When dividing by a fraction, you flip the fraction and multiply. This means we’re actually multiplying 1 by 4/3.

1 * 4/3 = 4/3

This is an improper fraction, meaning the numerator (top number) is larger than the denominator (bottom number). We can convert it to a mixed number by dividing the numerator by the denominator.

4 / 3 = 1 with a remainder of 1

This means that 4/3 is equal to 1 1/3. So, there are 1 1/3 three-quarters in one.

Let’s break down why this works. Imagine you have a pizza cut into four slices. You want to figure out how many groups of three slices you can make.

You can make one full group of three slices (3/4 of the pizza).

You’ll have one slice left over, which is 1/4 of the pizza.

That leftover slice is one-third of a full group of three slices, This is why the answer is 1 1/3.

We can also think about this in terms of decimal numbers. 3/4 is equal to 0.75, and 1 is equal to 1.00. We can then divide 1.00 by 0.75 to get 1.3333…, which is the decimal equivalent of 1 1/3.

### What is 3/8 called?

This fraction represents three out of eight equal parts of a whole. Think of it like slicing a pizza into eight equal pieces. Three eighths means you have three of those slices.

Fractions are a way to express parts of a whole. They are written as one number (the numerator) over another number (the denominator). The numerator tells you how many parts you have, and the denominator tells you how many parts the whole is divided into.

You can use fractions to represent many different things, like:

Parts of a whole: For example, 3/8 of a pizza.

Ratios: For example, a ratio of 3 boys to 8 girls in a classroom.

Division: For example, 3 divided by 8.

In everyday life, you might encounter three eighths in situations like:

Measuring ingredients: A recipe might call for three eighths of a cup of flour.

Time:Three eighths of an hour is 22.5 minutes.

Money:Three eighths of a dollar is 37.5 cents.

Understanding fractions is a valuable skill that can help you solve many everyday problems.

### Is 0.19 as a fraction?

Let’s break it down:

Decimal Places: The decimal 0.19 has two digits after the decimal point. This tells us the denominator of our fraction will be 100 (since 100 has two zeros).

Numerator: The digits after the decimal point, 19, become the numerator of our fraction.

So, we get 19/100. Since 19 and 100 share no common factors other than 1, this fraction is already in its simplest form.

Think of it like this: 0.19 means “nineteen hundredths,” and that’s exactly what the fraction 19/100 represents.

### What is 10.3% as a fraction?

First, remember that a percentage means “out of one hundred.” So, 10.3% is the same as 10.3 out of 100.

To write this as a fraction, we put 10.3 over 100: 10.3/100.

But fractions are usually simplified. To do that, we need to get rid of the decimal in the numerator. Since 10.3 has one decimal place, we can multiply both the numerator and denominator by 10 to move the decimal one place to the right:

(10.3 * 10) / (100 * 10) = 103/1000

Now, we see if there’s a common factor between 103 and 1000 that we can divide by to simplify further. In this case, there isn’t. So, the simplest form of 10.3% as a fraction is 103/1000.

Understanding Percentages and Fractions

It’s important to understand the relationship between percentages and fractions. A percentage represents a part of a whole, just like a fraction. Think of a pizza cut into 100 slices. If you eat 10 slices, you’ve eaten 10% of the pizza. Similarly, eating 10.3 slices represents 10.3% of the pizza.

Fractions offer a more precise way to express parts of a whole compared to percentages. For example, it’s easier to visualize 1/4 of a pie than 25% of a pie.

When converting percentages to fractions, remember that the percentage represents the numerator (the part), and 100 always represents the denominator (the whole).

Understanding how to convert between percentages and fractions is helpful in various situations, including calculations involving proportions, discounts, interest rates, and much more.

See more here: What Is 3/4 Equivalent To In Fractions? | What Fraction Is Equivalent To -3/2

### What is an example of an equivalent fraction?

Let’s look at how we can find equivalent fractions using this method. If we start with the fraction 1/2 and want to find an equivalent fraction with a denominator of 8, we can multiply both the numerator and denominator by 4. This gives us (1 x 4) / (2 x 4) = 4/8.

You can also use this method to simplify fractions. For example, if you have the fraction 4/8, you can divide both the numerator and denominator by 4 to get (4 / 4) / (8 / 4) = 1/2.

Understanding equivalent fractions is important in many areas of math, including simplifying fractions, comparing fractions, and solving equations. It’s also useful in everyday life, such as when you’re trying to figure out how much of something you need or how to divide something fairly.

### How do you find equivalent fractions?

Equivalent fractions are fractions that represent the same portion or value, even though they look different. The trick to finding them is to multiply or divide both the numerator and the denominator by the same number.

For example, if you want to find an equivalent fraction for 2/4, you can multiply both the numerator and denominator by 2. This gives you 4/8, which is an equivalent fraction.

Important Note: The key is that you must multiply or divide by the same number. Otherwise, you’ll end up with a different value.

Let’s try another example: Let’s say we want to find an equivalent fraction for 6/9. To make the numbers smaller, we can divide both the numerator and denominator by 3. This gives us 2/3, an equivalent fraction.

Here’s why this works: Multiplying the numerator and denominator by the same number is essentially multiplying the fraction by 1 (in the form of a fraction, like 2/2 or 3/3). Since multiplying by 1 doesn’t change the value, the resulting fraction is equivalent.

The same logic applies to division. Dividing by the same number is like dividing by 1, which again doesn’t change the value.

Remember, you can find infinitely many equivalent fractions for any given fraction! Just keep multiplying or dividing the numerator and denominator by the same whole number.

### Why are equivalent fractions the same?

Imagine a pizza cut into eight slices. You eat two slices. You’ve eaten 2/8 of the pizza.

Now, let’s say we cut the pizza in half, creating four slices. You would still have eaten 2/8 of the pizza, but now you’ve also eaten 1/4 of the pizza.

This is because 2/8 and 1/4 are equivalent fractions.

Equivalent fractions are made by multiplying or dividing both the numerator and denominator by the same number. In the pizza example, we divided both the numerator and the denominator of 2/8 by two (2 ÷ 2 = 1 and 8 ÷ 2 = 4) to get 1/4.

It’s like multiplying a number by 1. Multiplying by 1 doesn’t change the value, right? Dividing the numerator and denominator by the same number is essentially multiplying by a fraction that equals 1 (like 2/2 or 3/3).

Let’s look at another example. We can make 3/6 equivalent to 1/2. To do this, we divide both the numerator and denominator by 3. 3 ÷ 3 = 1 and 6 ÷ 3 = 2. So, 3/6 and 1/2 are equivalent fractions.

Understanding equivalent fractions is crucial for simplifying fractions and for comparing and adding fractions with different denominators.

### What are two fractions that are different but equivalent?

Equivalent fractions are created by multiplying both the numerator and denominator of a fraction by the same number. This is like cutting your pie into more slices, but the size of each slice is smaller.

For example, take the fraction 1/2. If we multiply both the numerator and denominator by 2, we get 2/4. These two fractions, 1/2 and 2/4, are equivalent because they represent the same amount of the whole.

Let’s break it down:

1/2 represents one out of two equal parts.

2/4 represents two out of four equal parts.

Even though the numbers are different, the actual amount of the whole represented by both fractions is the same. You can picture this as cutting a pie in half and then cutting each half into two more pieces. You’ll have four pieces, and two of them represent the same amount as the original half!

To create equivalent fractions, simply find a number you can multiply both the numerator and denominator by. You can use any number, as long as you apply it to both parts of the fraction. Here are some examples:

1/3 x 2/2 = 2/6

3/4 x 3/3 = 9/12

5/8 x 4/4 = 20/32

So, the key is to find a number that will make the fraction look different without changing its overall value. It’s like changing the size of the slices in your pie, but making sure you still have the same amount of pie!

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### What Fraction Is Equivalent To -3/2?

First, let’s remember what “equivalent” means when it comes to fractions. It means they represent the same value, even if they look different. Think of it like this: cutting a pizza into 6 slices and taking 3 is the same as cutting a pizza into 12 slices and taking 6 – you get the same amount of pizza!

Now, let’s get back to -3/2. This is a negative fraction, and it’s called an improper fraction because the numerator (the top number) is bigger than the denominator (the bottom number). But don’t worry, we can make this look simpler.

The key is to understand that multiplying or dividing both the numerator and denominator of a fraction by the same number doesn’t change its value. It’s like resizing a picture – you change the dimensions, but the image remains the same.

So, let’s find some equivalent fractions to -3/2:

Multiply by 2: (-3 x 2) / (2 x 2) = -6/4.

Multiply by 3: (-3 x 3) / (2 x 3) = -9/6.

Multiply by 4: (-3 x 4) / (2 x 4) = -12/8.

You can keep going, multiplying by any number!

Now, let’s look at another way to find equivalent fractions. We can express -3/2 as a mixed number. This is a number that has a whole number part and a fraction part.

To do this, we divide the numerator by the denominator: -3 ÷ 2 = -1 with a remainder of -1.

This means -3/2 is the same as -1 1/2.

Remember, finding equivalent fractions is like finding different ways to say the same thing. It’s important to understand the concept because it helps you solve problems and compare fractions more easily.

Let’s talk about some applications of equivalent fractions:

Adding and subtracting fractions: You can only add or subtract fractions if they have the same denominator. Finding equivalent fractions with a common denominator helps you do this.

Comparing fractions: It’s easier to compare fractions if they have the same denominator.

Simplifying fractions: You can simplify a fraction by dividing both the numerator and denominator by their greatest common factor.

Let’s go over some FAQs about equivalent fractions.

Frequently Asked Questions About Equivalent Fractions

1. Can I simplify -3/2?

No, you can’t simplify -3/2 in the traditional way because the numerator and denominator don’t share any common factors other than 1. However, you can express it as a mixed number, which is a simpler way to represent the value.

2. How do I find the equivalent fraction for a given fraction?

To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number. Remember, you’re basically resizing the fraction without changing its value.

3. Why are equivalent fractions important?

Equivalent fractions are crucial for understanding and working with fractions. They allow you to compare, add, subtract, and simplify fractions more easily.

4. Can I have a negative equivalent fraction?

Yes, you can have negative equivalent fractions. Remember, multiplying or dividing both the numerator and denominator by a negative number will also give you an equivalent fraction.

5. Are all fractions equivalent to -3/2 negative?

No, not all fractions equivalent to -3/2 are negative. For example, if you multiply both the numerator and denominator by -1, you get 3/(-2), which is equivalent to -3/2, but is not negative.

Understanding equivalent fractions is essential in working with fractions and can make your life easier when dealing with these mathematical concepts. Remember, it’s all about finding different ways to represent the same value!

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