Question

Which of the following fractions is the largest?

$\frac{5}{9}$, $\frac{3}{79}$, $\frac{14}{45}$, $\frac{34}{79}$

• A. $\frac{14}{45}$
• B. $\frac{34}{79}$
• C. $\frac{3}{79}$
• D. $\frac{5}{9}$

Answer 1

Answer:

$\frac{5}{9}$

The largest fraction among the given options is $\frac{5}{9}$.

To find the largest fraction easily, we can find the approximate decimal value of each term:

• $\frac{5}{9} \approx \mathbf{0.556}$ — (Largest)

• $\frac{3}{79} \approx 0.038$

• $\frac{14}{45} \approx 0.311$

• $\frac{34}{79} \approx 0.430$

Comparing the decimals (0.556 > 0.430 > 0.311 > 0.038) clearly shows that $\frac{5}{9}$ holds the greatest value.