Write equivalent fractions for $$ \frac{1}{3} $$ and $$ \frac{2}{5} $$ using 15 as the common denominator. $$ \frac{1}{3}+\frac{2}{5}=\frac{?}{15}+\frac{?}{15} $$

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UpStudy AI · Accepted Answer

1. To convert $$ \frac{1}{3} $$ to a fraction with denominator $$15$$, multiply both the numerator and the denominator by $$5$$:
   $$
   \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
   $$

2. To convert $$ \frac{2}{5} $$ to a fraction with denominator $$15$$, multiply both the numerator and the denominator by $$3$$:
   $$
   \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
   $$

Thus, the equivalent fractions are:
$$
\frac{1}{3}+\frac{2}{5} = \frac{5}{15} + \frac{6}{15}
$$
$$ \frac{1}{3} + \frac{2}{5} = \frac{5}{15} + \frac{6}{15} $$

Write equivalent fractions for and
using 15 as the common denominator.

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Write equivalent fractions for and using 15 as the common denominator.