1/3 = ?/6 = ?/9 = ?/12 = ?/15

Answer 1

To find the equivalent fractions for \( \frac{1}{3} \) with denominators 6, 9, 12, and 15, you can use the fact that equivalent fractions are obtained by multiplying the numerator and the denominator by the same number.

1. For \( \frac{1}{3} = ?/6 \):
\[
\frac{1}{3} \times \frac{2}{2} = \frac{2}{6}
\]
So, \( \frac{1}{3} = \frac{2}{6} \).

2. For \( \frac{1}{3} = ?/9 \):
\[
\frac{1}{3} \times \frac{3}{3} = \frac{3}{9}
\]
So, \( \frac{1}{3} = \frac{3}{9} \).

3. For \( \frac{1}{3} = ?/12 \):
\[
\frac{1}{3} \times \frac{4}{4} = \frac{4}{12}
\]
So, \( \frac{1}{3} = \frac{4}{12} \).

4. For \( \frac{1}{3} = ?/15 \):
\[
\frac{1}{3} \times \frac{5}{5} = \frac{5}{15}
\]
So, \( \frac{1}{3} = \frac{5}{15} \).

Summarizing the equivalent fractions:
\[
\frac{1}{3} = \frac{2}{6} = \frac{3}{9} = \frac{4}{12} = \frac{5}{15}
\]