Divide To Find Equivalent Fractions

Divide To Find Equivalent Fractions – Now equivalent fractions can have different numerators and denominators, but represent the same integer value or ratio.

Let’s quickly remember how to form equivalent fractions and simplify them using the following two examples.

Divide To Find Equivalent Fractions

Divide To Find Equivalent Fractions

As noted by the Monterey Institute, we obtain common denominators by forming fractions that have the same integer denominator.

Ways To Change A Common Fraction Into A Decimal

Best of all, LCD uses the same process to find the least common multiple (LCM), but only for the numbers in the denominator. We already know what that means.

Divide To Find Equivalent Fractions

Luckily, after finding common denominators, we’ve converted these two fractions into equivalent fractions of 5/20 and 8/20, so all we have to do now is read their numbers.

Since 5 is less than 8, we know that 5/20 is less than 8/20, which means that 1/4 is less than 2/5.

Divide To Find Equivalent Fractions

Equivalent Fractions And Simplest Form (or Lowest Terms)

If you want to convert a mixed number to an improper fraction first, multiply the denominator by the whole number, add the numerator, and follow the steps listed above.

First, let’s write the mixed number 5 and 1/2 as an improper fraction of 11/2 using the technique we learned in our video with mixed numbers by improper fraction.

Divide To Find Equivalent Fractions

Next, we find the LCD by first finding the LCM of our class to create the common denominator.

Fractions For Kids Explained: How To Teach Your Child Fractions At Home

And since 28 is less than 33, 28/6 is less than 33/6, so 14/3 is less than 5 1/2.

Divide To Find Equivalent Fractions

In the video below, we’ll see more examples of how to compare fractions by finding the least common denominator and how to order fractions from least to greatest, as well as some handy tips and tricks. The most important fundamental topics in mathematics and students must understand how to perform operations on fractions such as addition and subtraction of fractions and multiplication of fractions. But before students can understand fractions at an advanced level, it is imperative that they have a solid understanding of equivalent fractions.

In real life, we often deal with different values ​​that can be considered equal or equivalent to each other. For example, we know that 60 minutes equals 1 hour and 16 ounces equals one pound. In any case, we express the same amount of time or weight in two different ways.

Divide To Find Equivalent Fractions

What Are Equivalent Fractions? Explained For Primary School

This idea of ​​expressing two equivalent values ​​in different ways is similar in mathematics when it comes to equivalent fractions.

This complete guide to equivalent fractions provides a step-by-step tutorial on how to understand equivalent fractions and how to find them.

Divide To Find Equivalent Fractions

The reason they are equivalent fractions is that if you (A) MULTIPLY or (B) divide both the numerator (top) and denominator (bottom) of each fraction by the same number, the fraction will not change. (If this idea is hard to grasp, the images below will help!).

How To Find Equivalent Fractions

Use a fraction chart as a visual aid to help you understand and identify equivalent fractions.

Divide To Find Equivalent Fractions

To find equivalent fractions by division, follow the same steps as for multiplication, but keep in mind the following key points:

If you’re not sure whether or not two fractions are equal, there’s a simple shortcut that involves multiplication that you can use as a test.

Divide To Find Equivalent Fractions

Why Many Students Find Fractions, Decimals And Percentages Confusing

To find the cross product of two fractions, multiply the top of the first fraction by the bottom of the second fraction and the bottom of the first fraction by the top of the second fraction.

To see whether or not 4/5 and 12/15 are equal, you need to start by finding the cross product.

Divide To Find Equivalent Fractions

Again, multiply the top of the first fraction by the bottom of the second fraction and the bottom of the first fraction by the top of the second fraction as follows:

What Are Equivalent Fractions? Explained Elementary

Therefore, we can conclude that 4/5 and 12/15 are equivalent fractions because their cross products are the same.

Divide To Find Equivalent Fractions

As in the last example, you can check that two fractions are equal by finding the cross products as follows:

Therefore, 4/7 and 6/12 are not equivalent fractions because their cross products are not the same.

Divide To Find Equivalent Fractions

Equivalent Fractions Warm Up List The Factors Of Each Number Ppt Download

Watch the video lesson below to learn more about fractions and equivalent ratios and for free tutorials: Here’s a helpful guide for learning what an equivalent fraction is and how to find equivalent fractions.

We also have a page of fraction equivalent worksheets to help you practice and show your understanding of this concept.

Divide To Find Equivalent Fractions

Also at the bottom of this page are three printable resource sheets that explain equivalent fractions in a bit more detail.

Finding Equivalent Fractions

It is very important to find equivalent fractions before attempting to add or subtract fractions with different denominators.

Divide To Find Equivalent Fractions

Half is worth half of everything. If we divide each part into two equal parts, we divide the fourth or the whole into 4 equal parts.

Each half is divided into two quarters (since two of the 4 parts are shaded), and we have an equivalent fraction:

Divide To Find Equivalent Fractions

How To Use Math Manipulatives When Teaching Equivalent Fractions

If we divide each half into three equal pieces instead of 2, we get 3 shaded stripes (numerator) out of a total of 6 stripes (denominator), giving the fraction three sixths.

This can be repeated by dividing the same half into 4, 5, 6, etc. Pieces:

Divide To Find Equivalent Fractions

This makes sense in context, for example, if you scored a 5 out of 10 or a fifth out of ten on a spelling test, half the answers would be correct and half wrong.

Fractions Introduction And Review. Simplifying Fractions Divide The Numerator (top) And Denominator (bottom) By The Same Number Repeat, As Needed 12 ÷

If we divide each of the three into two equal parts, we get a total of 6 pieces with 4 shades, so now we have 4 shades of 6 instead of 2 shades of 3.

Divide To Find Equivalent Fractions

In other words, we doubled the number of shaded areas (the numerator) and doubled the total number of areas (the denominator).

Again, this can be repeated and the two-thirds can be divided into any number of equal parts.

Divide To Find Equivalent Fractions

Generate Equivalent Fractions

Whenever a fraction is divided, both the denominator and numerator are multiplied by the quotient. This gives us an equal fraction.

In other words, if you multiply the numerator and denominator by the same number, you get the same (or equivalent) fraction.

Divide To Find Equivalent Fractions

Using the same logic, if we divide the numerator and denominator by the same number, we will get an equal quotient.

Expert Maths Tutoring In The Uk

We have found that multiplying or dividing the numerator and denominator of a fraction by the same number gives an equivalent fraction.

Divide To Find Equivalent Fractions

If you want to see all of this in a little more detail, print out the 3 worksheets below which will tell you everything you need to know about equivalent fractions.

Using fraction equivalent strips is a great way to learn fraction facts and understand how much fractions are worth in a visual way.

Divide To Find Equivalent Fractions

Learn How To Convert Fractions To Percentages

Here you will find a selection of equivalent fraction worksheets designed to help your child practice the facts about equivalent fractions.

Before learning how to add and subtract fractions with different denominators, this is a critical learning step that your child needs to be sure of.

Divide To Find Equivalent Fractions

You can explore different fractional equations in the Equivalents lab or test your knowledge of equivalent fractions using the game area.

Question Video: Dividing Two Fractions

Math Salamanders hopes you enjoy using these free printable math worksheets and our other math games and resources.

Divide To Find Equivalent Fractions

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Divide To Find Equivalent Fractions

How To Compare Fractions: 4 Steps (with Pictures)

We’ve updated and improved our fraction calculators to show you how to solve your fraction problems step by step!

Check out some of our most popular pages to see a variety of math activities and ideas you can use with your child

Divide To Find Equivalent Fractions

If you are a regular user of our site and enjoy what we do, please make a small donation to help us with our expenses. Use the calculator below to calculate a proper, improper, or mixed fraction, or a fraction equivalent to a whole number. The results include the first 100 equivalent fractions.

Comparing Fractions (hands On Practice W/ 17 Examples!)

Joe is the creator of Inch Calculator and has over 20 years of engineering and construction experience. He holds many degrees and certificates.

Divide To Find Equivalent Fractions

Bailey is an experienced educator and specializes in K-12 math and science. She holds a master’s degree in professional education and holds several teaching certifications.

Equivalent fractions are fractions that have the same value but have different numerators and denominators. There are a few steps to find equivalent fractions.

Divide To Find Equivalent Fractions

Warm Up 2 Minutes.

Find the greatest common divisor of the upper and lower numbers, then divide both by the greatest common divisor and reduce.

The greatest common divisor of 6 and 9 is 3 (3 is the greatest number equal to 6 and 9).

Divide To Find Equivalent Fractions

The second step is to calculate the fractions equal to the original value. To find an equivalent fraction, multiply the numerator and denominator of the reduced fraction by a multiplier.

Equivalent Fractions How To Guide

The first method is to reduce each part to its simplest form. If reduced

Divide To Find Equivalent Fractions

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