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Sums and Differences of Like Fractions

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Aligned To Common Core Standard:

Grade 4 Fractions - 4.NF.3

How to Find Sums and Differences of Like Fractions - In mathematics, sum and difference is not merely confined to simple whole numbers. These mathematical operations apply to fractions as well. A fraction is an integer that represents the part of a whole and they have different types; like fractions and unlike fractions. Like fractions are those fractions that have the same numerator (top digit) and denominator (lower digit). When it comes to finding the sum and difference of like fractions, it is pretty simple in fact more fun. To get a grip on adding and subtracting fractions, follow the steps: Before you focus on the operation applied to fraction, make sure that the denominators are same. They can't be like fractions if the denominators are not same. For example: 3/4 + 2/4 , 3/4 + 1/5 The first equation consists of like fractions and the other consists of unlike fractions. Simply add the numerators (top) of like fraction. 3/4 + 2/4 = 5/4. The last step is to simplify the fraction if there is a need. For example, the sum of these two fractions requires simplification. 2/10 + 4/10 = 6/10. Simplify by the table of 2 and you will get 3/5. This pack of worksheets, lessons, and quizzes show students how to subtract or add like fractions.

Printable Worksheets And Lessons

Homework Sheets

I set these up as three different skills: like fraction addition, subtraction, and both.

  • Homework 1 (-) - Subtract the fractions and simplify your answers.
  • Homework 2 (+) - If the denominators are the same, we can just add the numerators.
  • Homework 3 (+ & -) - Denominators are same, so we can subtract just the numerators.

Practice Worksheets

The same style, just the numbers are a bit backwards.

  • Practice 1 (+) - Find the final value of the following problems by adding the fractions and simplify your answers.
  • Practice 2 (-) - Subtract the fractions and simplify your answers.
  • Practice 3 (Mixed) - Add the fractions and simplify your answers.

Math Skill Quizzes

Unlike the two preceding sections, all of these problems are mixed (addition and subtraction).

  • Quiz 1 - A real nice mix of work.
  • Quiz 2 - Remember to simplify all your answers.
  • Quiz 3 - This is a bit more advanced because we are comparing three fractions at a time.