At Maya's Vacation Wear, $\frac{3}{8}$ of the garments are bikinis and $\frac{3}{8}$ are trunks. What fraction of the garments are either bikinis or trunks? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_\_$ of the garments

Full solution

Q. At Maya's Vacation Wear,

\frac{3}{8}

of the garments are bikinis and

\frac{3}{8}

are trunks. What fraction of the garments are either bikinis or trunks?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_\_

of the garments

Identify fractions of garments: First, let's identify the fractions of garments that are bikinis and trunks. Bikinis make up $\frac{3}{8}$ of the garments, and trunks also make up $\frac{3}{8}$ of the garments.
Calculate combined fraction: To find out what fraction of the garments are either bikinis or trunks, we add the fractions for bikinis and trunks together. So, we calculate $\frac{3}{8} + \frac{3}{8}$ .
Add fractions: Adding the fractions, we get $\frac{3}{8} + \frac{3}{8} = \frac{6}{8}$ . This fraction can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is $2$ .
Simplify fraction: Simplifying $\frac{6}{8}$ , we divide both the numerator and the denominator by $2$ . So, $6 \div 2 = 3$ and $8 \div 2 = 4$ . Therefore, the simplified fraction is $\frac{3}{4}$ .