Question

Is 4/7 greater than 5/12

Answer 1

To compare the fractions \( \frac{4}{7} \) and \( \frac{5}{12} \), you can find a common denominator or convert them to decimal form.

1. **Finding a common denominator:** The least common multiple of 7 and 12 is 84.
- Convert \( \frac{4}{7} \) to a fraction with a denominator of 84:
\[
\frac{4}{7} = \frac{4 \times 12}{7 \times 12} = \frac{48}{84}
\]
- Convert \( \frac{5}{12} \) to a fraction with a denominator of 84:
\[
\frac{5}{12} = \frac{5 \times 7}{12 \times 7} = \frac{35}{84}
\]

Now, we can compare \( \frac{48}{84} \) and \( \frac{35}{84} \). Since 48 is greater than 35, it follows that

\[
\frac{4}{7} > \frac{5}{12}
\]

2. **Converting to decimal:** For additional clarity, let's convert both fractions to decimals.
- \( \frac{4}{7} \approx 0.5714 \)
- \( \frac{5}{12} \approx 0.4167 \)

Again, \( 0.5714 > 0.4167 \).

Therefore, \( \frac{4}{7} \) is indeed greater than \( \frac{5}{12} \).