Question

Estimate the difference between these two images using benchmarks.



$\frac{9}{10}-\frac{5}{11}$

• A. $0$
• B. $\frac{1}{4}$
• C. $\frac{1}{2}$
• D. $1$

Answer 1

The correct option is C $\frac{1}{2}$

Detailed step-by-step solution:


$\frac{9}{10}$

$9$ is close to $10$. As it’s almost a complete whole, round up $\frac{9}{10}$ to the benchmark $1$.


$\frac{5}{11}$

$11$ is close to $10$. As almost half of the whole is shaded, round up $\frac{5}{11}$ to the benchmark $\frac{1}{2}$.

Now, $1-\frac{1}{2}=\frac{1}{2}$

Hence, Option C is correct.