Question

Which is greater 7/5 or 2/3

Answer 1

To compare \( \frac{7}{5} \) and \( \frac{2}{3} \), you can convert the fractions to a common denominator or convert them to decimal form.

1. **Common Denominator Method:**
- The least common denominator of 5 and 3 is 15.
- Convert \( \frac{7}{5} \) to a fraction with a denominator of 15:
\[
\frac{7}{5} = \frac{7 \times 3}{5 \times 3} = \frac{21}{15}
\]
- Convert \( \frac{2}{3} \) to a fraction with a denominator of 15:
\[
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
\]
- Now compare \( \frac{21}{15} \) and \( \frac{10}{15} \). Since 21 is greater than 10, \( \frac{21}{15} > \frac{10}{15} \).

2. **Decimal Method:**
- Convert \( \frac{7}{5} \) to decimal:
\[
\frac{7}{5} = 1.4
\]
- Convert \( \frac{2}{3} \) to decimal:
\[
\frac{2}{3} \approx 0.6667
\]
- Since \( 1.4 > 0.6667 \), it confirms that \( \frac{7}{5} > \frac{2}{3} \).

Thus, \( \frac{7}{5} \) is greater than \( \frac{2}{3} \).