Dividing Fractions By Whole Numbers

Multiply the bottom number of the fraction by the whole number.

To Divide a Fraction by a Whole Number:

  • Step 1. Multiply the bottom number of the fraction by the whole number
  • Step 2. Simplify the fraction (if needed)

Example:
1 2   ÷  3

Step 1. Multiply the bottom number of the fraction by the whole number:

1 2 × 3

Which equals:

1 6

Step 2. Fraction is already as simple as possible, so no need for step 2.

Answer:

1 2   ÷  3  =   1 6

With Pen and Paper

And here is how to do it with a pen and paper (press the play button):

Does it make sense?

 

Does   1 2   ÷  3 really equal   1 6   ?

 

Well look at the pizzas below ...

When half a pizza is divided into 3 equal parts, each person gets one sixth of a whole pizza.

  A Half:   Divided by 3:  
  3/6   1/6 Answer:
16

Another example:

Example:
2 5   ÷  4

Step 1. Multiply the bottom number of the fraction by the whole number:

2 5 × 4   =   2 20

Step 2. Simplify the fraction:

2 20   =   1 10

And that is all we have to do.