Multiplying Simple Fractions by Whole Numbers

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Multiplying Fractions by Whole Numbers

What do you already know about multiplying fractions by whole numbers?

Learning Objective

At the end of the lesson you will be able to multiply simple fractions with numerator 1 by whole numbers and explain the process.

What Is a Fraction with Numerator 1?

A fraction with a numerator of 1 represents one part of a whole. For example, 1/2 is one half, 1/3 is one third.

Multiplying Fractions by Whole Numbers

To multiply a fraction like 1/5 by a whole number, multiply the numerator by the whole number and keep the same denominator. Example: 1/5 × 4 = 4/5.

Worked Example

There are 7 students. Each gets 1/5 of a ribbon. How much do they have together?

Problem

Solution

Multiply: 1/5 × 7 = 7/5. The students have 7/5 of a ribbon in total.

Real-World Example

Imagine splitting pies evenly among plates. If each plate has 1/3 of a pie and there are 4 plates, how much pie is there in total? 1/3 × 4 = 4/3 pies.

Check Your Understanding

If you have 5 bowls with 1/2 an apple in each, how many apples in total? Try multiplying: 1/2 × 5 = ?

Key Takeaway

When multiplying fractions with 1 as the numerator by whole numbers, multiply the whole number by the numerator and place over the same denominator.

Write down 3 things you learned in this lesson.

Write down 2 things you want to know more about.

Ask 1 question about something you haven't quite understood yet.