Products of Whole Numbers and Fractions
Aligned To Common Core Standard:
Grade 5 Fractions - 5.NF.4
How to Find the Products of Whole Numbers and Fractions - You already know that multiplication is a short cut for doing repeated addition. But what if you have a bunch of fractions and whole numbers on repeat and you have to multiply them? In order to multiply a fraction and a whole number, you need to change the whole number to a fraction. Do you remember that you can write a whole number as a fraction? By writing it with 1 as the denominator. Let us consider an example 1/7 x 5. The first step is to change the whole number to fraction, so in this example, the whole number is 5, and it will become 5/1. Now, rewrite the problem as the product of two fractions. The example now can be rewritten as 1/7×5/1. The next step is to multiply the two fractions with each other. The numerator needs to be multiplied by the numerator and the denominator with the other denominator. The next step to the example is 1/7. The resultant step will be the simplest form of fraction for the example, i.e. 5/7.
Printable Worksheets And Lessons
- Products of Whole and
Parts Step-by-step Lesson- Proper fractions multiplied by whole
numbers. A nice guide for you.
- Guided Lesson -
Perfectly set up for this skill, I included a word problem and a
multiple choice question.
- Guided Lesson Explanation
- There are a number of ways to teach this. I have the most success
with converting the whole number to a fraction.
- Practice Worksheet
- A marathon of word problems for you that all focus on the use
of fractions and wholes.
- Matching Worksheet - Match the products to the problems that created them for you.
If students just remember that whole numbers never affect the denominator, they should be good to go.
- Homework 1 - Simplify your answer and write it in the simplest form.
- Homework 2 - The tens are a cinch.
- Homework 3 - Jessica is making squash that calls for ¼ a spoon of sugar. If she needs to make 8 glasses of squash, how many spoons of sugar will she need?
I used slightly larger numbers here to work more on the operations side of the skill.