Question

Olivia has 1 1/5 yards of fabric. She uses 5/8. How much fabric did she use?

Answer 1

63/40, also known as 1 23/40.

Explanation:

Uses = Subtract.

1. Find the LCD (Least Common Denominator) of 11/5 and 5/8. Can also be LCM (Least Common Multiple) of 5 and 8.

LCD = 40.

2. Make the denominators the same as the LCD.

`(11*8)/(5*8) - (5*5)/(8*5)`

3. Simplify.

`(88)/(40) - (25)/(40)`

4. Simplify.

`(63)/(40)`

Mixed Number =
`1(23)/(40)`

Answer 2

23/40 of the fabric

Explanation:

Make sure first that each fraction has a common denominator.

Turn 1 1/5 into 6/5

The common denominator of 5/8 and 6/5 would by 40.

Then, turn the bottom numbers into 40 and multiply each number by the same amount as the bottom was multiplied by.

5 × 5 25

------ ------ = ------

8 × 5 40

6 × 8 48

------ ------ = ------

5 × 8 40

Then subtract the top fraction from the bottom fraction.

48 25 23

------ - ------ = ------

40 40 40