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

Answer:

$\frac{5}{8}$ yards.

Step-by-step 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.

$6\frac{1}{8}-(3\frac{3}{8}+2\frac{1}{8})$

Convert mixed fractions into improper fractions:

$\frac{6\times 8+1}{8}-(\frac{3\times8+3}{8}+\frac{2\times8+1}{8})$

$\frac{49}{8}-(\frac{27}{8}+\frac{17}{8})$

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

$\frac{49}{8}-(\frac{27+17}{8})$

$\frac{49}{8}-\frac{44}{8}$

$\frac{49-44}{8}$

$\frac{5}{8}$

Therefore, Sharyn has $\frac{5}{8}$ yards of fabric left.