Question

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

Answer 1

Answer:

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

Step-by-step 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.

$\frac{11*8}{5*8} - \frac{5*5}{8*5}$

3. Simplify.

$\frac{88}{40} - \frac{25}{40}$

4. Simplify.

$\frac{63}{40}$

Mixed Number = $1\frac{23}{40}$

Answer 2

Answer:

23/40 of the fabric

Step-by-step 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