Question

Select the two fractions that are equivalent to 3/5.

- 21/35
- 5/12
- 3/10
- 15/25

Answer 1

To determine which fractions are equivalent to \( \frac{3}{5} \), we can simplify or cross-multiply:

1. \( \frac{21}{35} \):
Simplify \( \frac{21}{35} \):
\[
\frac{21 \div 7}{35 \div 7} = \frac{3}{5}
\]
So, \( \frac{21}{35} \) is equivalent to \( \frac{3}{5} \).

2. \( \frac{5}{12} \):
This fraction does not simplify to \( \frac{3}{5} \) because \( 5 \) and \( 12 \) have no common factors.

3. \( \frac{3}{10} \):
This fraction does not simplify to \( \frac{3}{5} \).

4. \( \frac{15}{25} \):
Simplify \( \frac{15}{25} \):
\[
\frac{15 \div 5}{25 \div 5} = \frac{3}{5}
\]
So, \( \frac{15}{25} \) is also equivalent to \( \frac{3}{5} \).

Therefore, the two fractions that are equivalent to \( \frac{3}{5} \) are \( \frac{21}{35} \) and \( \frac{15}{25} \).