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## Arithmetic

### Course: Arithmetic>Unit 15

Lesson 5: Dividing fractions by fractions

# Dividing a whole number by a fraction with reciprocal

Dividing by a fraction involves finding the reciprocal and multiplying. For example, when dividing 8 by 7/5, first find the reciprocal of 7/5, which is 5/7. Then, multiply 8 by 5/7, resulting in 40/7 or 5 5/7. This method simplifies fraction division and enhances understanding. Created by Sal Khan.

## Want to join the conversation?

• A reciprocal is like a unique partner for a number. When you multiply a number by its reciprocal, you get 1. For example, the reciprocal of 5 is 1/5, and if you multiply 5 by 1/5, you get 1. The same goes for other numbers.

If you have a fraction, like 2/3, the reciprocal simply flip the fraction upside down, becoming 3/2. When you multiply 2/3 by 3/2, you get 1.

Remember that multiplying by a number and dividing by its reciprocal is the same. So if you want to divide by 4, you can multiply by 1/4 instead.

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