Question

The difference between the smallest and the largest fractions among $\frac{5}{9}$, $\frac{7}{7}$, $\frac{11}{26}$, $\frac{14}{16}$ is:

• A. $\frac{15}{24}$
• B. $\frac{15}{25}$
• C. $\frac{15}{26}$
• D. $\frac{15}{29}$

Answer 1

Answer:

$\frac{15}{26}$

The difference between the smallest and the largest fraction is $\frac{15}{26}$.

1: Identify the smallest and largest fractions

We can check the values of each fraction:

• $\frac{5}{9} \approx 0.555$

• $\frac{7}{7} = 1.0$ (Largest)

• $\frac{11}{26} \approx 0.423$ (Smallest)

• $\frac{14}{16} = 0.875$

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2: Calculate the difference

Subtract the smallest fraction from the largest fraction:
$\text{Difference} = 1 - \frac{11}{26}$
$\text{Difference} = \frac{26 - 11}{26} = \frac{15}{26}$