Question

3/5 greater than 5/16

Answer 1

To determine whether \( \frac{3}{5} \) is greater than \( \frac{5}{16} \), we can compare the two fractions by finding a common denominator or by converting them to decimals.

### Method 1: Cross-Multiplication
We can cross-multiply to compare the two fractions:

- Cross-multiply:
\[
3 \times 16 \quad \text{and} \quad 5 \times 5
\]

Calculating both sides:
- \( 3 \times 16 = 48 \)
- \( 5 \times 5 = 25 \)

Now compare:
- \( 48 > 25 \)

Since \( 48 > 25 \), we have:
\[
\frac{3}{5} > \frac{5}{16}
\]

### Method 2: Converting to Decimals
Alternatively, we can convert both fractions to decimals:
- \( \frac{3}{5} = 0.6 \)
- \( \frac{5}{16} \approx 0.3125 \)

Since \( 0.6 > 0.3125 \), we conclude that:
\[
\frac{3}{5} > \frac{5}{16}
\]

Thus, **yes**, \( \frac{3}{5} \) is greater than \( \frac{5}{16} \).