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Making Equivalent Fractions Worksheets

There are many times in our lives when we need to scale things in equal ratios. This is an essential skill to just about any recipe. A recipe is a list of things you need, in the proper proportion, to create a delicious food. As long as you keep that proportion the same (equivalent) you will create the same delicious food, just more or less of it depending on your need. For example, what happens need a half of a cup of baking soda, but only have measuring spoons that measures in quarters? Understanding the concept of equivalence, we would know that 1/2 is equal to 2/4. What most people do not realize is that recipes are just a simple term for formula. You can apply this to so many different walks of life. These worksheets help students learn how devise their own equivalent fractions.

Aligned Standard: Grade 4 Fractions - 4.NF.1

  • Answer Keys - These are for all the unlocked materials above.

Homework Sheets

I use a number of different methods to help explain equivalence with ease.

  • Using Visuals Homework 1 - First, we have to convert the fractions to their lowest form.
  • Lowest Terms Homework 2 - To reduce fractions, divide the "numerator" and "denominator" by the same number. But, make sure that both numbers are divided evenly.
  • Models Homework 3 - Write each model as a fraction. Circle the equivalent fractions.

Practice Worksheets

We use simple multiple choice, worked out lowest terms, and a mix of the two.

  • Practice 1 - Which fraction is equivalent to each fraction that is given.
  • Practice 2 - Write the fraction in lowest terms.
  • Practice 3 - Start with the lowest form and build up from there.

Math Skill Quizzes

I threw all of the skills we went over into the blender and these quiz sheets came out.

  • Quiz 1 - No multiple choice is provided here.
  • Quiz 2 - You need to break these down to their lowest terms.
  • Quiz 3 - Make them match, the best that you can.

How to Make Equivalent Fractions

If you are required to make equivalent fractions, how will you do it? By knowing a few tips and tricks, you can make this a cinch for yourself. Making equivalent fractions is not very difficult. All you need to have is a solid grasp on your times tables. You can make equivalent fractions by dividing or multiplying the numerator and denominator with a non-zero whole number. If you wish to increase the numerator/denominator combo, you will multiply. If you wish to decrease that combo, you will need to divide.

It is important to understand that you can only multiply or divide these fractions with a whole number and cannot apply any other mathematical operation like addition or subtraction. Divide the fraction only when its numerator and denominator is a whole number. Two fractions will only become equivalent fractions when they are multiplied or divided with the same number top and bottom. It is an essential step in making an equivalent fraction as it maintains the equality of the fraction, which is the core of mathematical concepts.

While this may seem like a trivial skill, it has a great deal of cross over into other areas of higher-level math. Being able to make equivalent fractions will help you develop exceptional cross multiplying and algebraic skills. Mastering this skill now, will pay off huge dividends for you in the future.

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