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Products of Top Heavy Fractions and Integers

Answer Keys Here

Aligned To Common Core Standard:

Grade 5 Fractions - 5.NF.5

How to Find the Products of Top-Heavy Fractions and Integers? When learning fractions, there are three types that kids have to understand. The first ones that kids learn about are the proper fractions. Here the denominator of the fraction is greater than the numerator of the fraction. 1/4, 15/27, and 2/3 are examples of proper fractions. The second type fractions are the improper fractions that are also known as "top-heavy" fractions. Here the denominator of the fraction is smaller than the numerator of the fractions. 12/7, 5/3, and 7/4 Are all examples of top-heavy fractions. The third Type is mixed fractions, which can be written as improper fractions. 3 1/4, 1 1/2 are examples of mixed fractions. Once a student grasps the concepts of improper fractions easily, they can easily multiply the improper fractions with integers. Example: Find the product of 18/7 × 3. Step 1: Convert Integer into a Fraction - The first step is to convert the integer into a fraction with one as its denominator. 18/7 × 3/1 Step 2: Multiply the Numerators and the Denominators - (18×3)/(7×1) = 54/7 The resulting fraction is the answer; you can write it as a mixed number, and where possible, you can simplify the fraction. This lesson and worksheet series shows you how to multiply top heavy fractions with whole numbers.

Printable Worksheets And Lessons

Homework Sheets

This will get students into the basic rhythm of these types of problems. Multiply the numerator and reduce into a mixed number.

  • Homework 1 - To multiply a fraction by a whole number, write the whole number as a fraction with same numerator and 1 as the denominator.
  • Homework 2 - If we divide the numerator and denominator by the fraction, we can determine the missing parts.
  • Homework 3 - Multiply the numerators then multiply the denominators.

Practice Worksheets

You are introduced to find the missing piece of the fraction.

Math Skill Quizzes

This quiz is loaded with tons of problems that were on the recent New York State and Texas grade 5 assessment.

  • Quiz 1 - Find the products and fill in any empty sections along the way.
  • Quiz 2 - These will require you to think at a higher level.
  • Quiz 3 - Some pretty hefty fractions are here.