Question

Which fraction is equivalent to 4/5

16/20
16/25
12/20
8/15

Answer 1

To determine which fraction is equivalent to \(\frac{4}{5}\), we can simplify or cross-multiply the fractions.

**1. Check \(\frac{16}{20}\):**
\[
\frac{16}{20} = \frac{16 \div 4}{20 \div 4} = \frac{4}{5} \quad \text{(equivalent)}
\]

**2. Check \(\frac{16}{25}\):**
Cross-multiply:
\[
4 \times 25 = 100 \quad \text{and} \quad 16 \times 5 = 80 \quad \text{(not equivalent)}
\]

**3. Check \(\frac{12}{20}\):**
\[
\frac{12}{20} = \frac{12 \div 4}{20 \div 4} = \frac{3}{5} \quad \text{(not equivalent)}
\]

**4. Check \(\frac{8}{15}\):**
Cross-multiply:
\[
4 \times 15 = 60 \quad \text{and} \quad 8 \times 5 = 40 \quad \text{(not equivalent)}
\]

The only fraction that is equivalent to \(\frac{4}{5}\) is \(\frac{16}{20}\).