Question

Sharyn needs 3 3/8 yards of fabric to make a dress for herself and 2 1/8 yards of the same fabric to make a matching dress for her daughter. If she buys 6 1/8 yards of fabric, how much will she have left over?

Answer 1

6 1/8 - (3 3/8 + 2 1/8) =
6 1/8 - (5 4/8) =
5 9/8 - 5 4/8 =
5/8 yds <===

Answer 2

`(5)/(8)` yards.

Explanation:

We have been given that Sharyn needs 3 3/8 yards of fabric to make a dress for herself and 2 1/8 yards of the same fabric to make a matching dress for her daughter.

To find the yards of fabric left, we will subtract sum of yards used for both dresses from total fabric.

`6(1)/(8)-(3(3)/(8)+2(1)/(8))`

Convert mixed fractions into improper fractions:

`(6* 8+1)/(8)-((3*8+3)/(8)+(2*8+1)/(8))`

`(49)/(8)-((27)/(8)+(17)/(8))`

Since denominators are equals, so we will combine numerators as:

`(49)/(8)-((27+17)/(8))`

`(49)/(8)-(44)/(8)`

`(49-44)/(8)`

`(5)/(8)`

Therefore, Sharyn has
`(5)/(8)` yards of fabric left.