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Fractions of Integers

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Aligned To Common Core Standard:

Grade 6 Numbers - 6.NS.A.1

How to Find the Fraction of an Integer - A fraction is a common method that is used for expressing rational numbers which are not whole numbers. Fraction can be used for determining the partial value of rational numbers. The concept of fractions is taught generally at the grade school level and mastered before advancing into more difficult math stages. Identifying the components of a fraction is also important. Fraction is defined by the expression a/b. Here a and b are integers, and within the fraction a is the numerator and b is the denominator. In order to find the fraction of an integer, you need to calculate the fraction of a whole number by multiplying that number by its numerator and then dividing that product with the denominator. Thus, the fraction a/b of a whole number x is given by ax/b. Let's try to understand that with the help of an example. 3/4 of 21 is 3 multiplied by 21 and then divided by 4 or in simple terms, 63/4. This is called an improper fraction because here the numerator is bigger than the denominator. This selection of worksheets and lessons shows students how to find the fractional value of an integer. We do this by breaking them into shared groups.

Printable Worksheets And Lessons

Homework Sheets

We start with straight up problems and then number 3 shifts their whole mind set.

  • Homework 1 - What is 1/6 of 36?
  • Homework 2 - Multiply 3/6 by 4 to find this one.
  • Homework 3 - If you divide something into two of the equal parts, then either part is one-second of the whole.

Practice Worksheets

I like to get them in the habit of just using products to help them solve these.

  • Practice 1 - Break them into equal groups. Since these are all ones, just divide by the denominator.
  • Practice 2 - The bottom value tells you how many equal parts you need to make.
  • Practice 3 - Find the fractional part of the given number.

Math Skill Quizzes

I presented the quizzes in a completely different way then all the other sheets.

  • Quiz 1 - Order the fractions from least to greatest.
  • Quiz 2 - Some of the problems are setup for you, just run them.
  • Quiz 3 - Number nine usually stumps them.