Question

What is 7/8 divided by 1/8

Answer 1

Answer:

7

Step-by-step explanation:

Concepts:

• Division: a system of distributing a collection of things into equal parts

• Fractions: #s that represent a part of a whole

• Dividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other one
• Inverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.