Question

The given fractions represent the length of different ropes.



Which is the longest rope?

• A. Rope A
• B. Rope B
• C. Rope C
• D. All the ropes have the same length.

Answer 1

The correct option is A Rope A

First, we will convert all the fractional values into their decimal forms.

Length of rope A = $\frac{9}{15}$ ft $=\frac{3}{5}$ ft

$⟹\frac{3}{5}=\frac{3\times 2}{5\times 2}=\frac{6}{10}$

$⟹\frac{6}{10}=0.6ft$

Length of rope B = $\frac{6}{12}$ ft $=\frac{1}{2}$ ft

$⟹\frac{1}{2}=\frac{1\times 5}{2\times 5}=\frac{5}{10}$

$⟹\frac{5}{10}=0.5ft$

Length of rope C = $\frac{8}{20}$ ft $=\frac{2}{5}$ ft

$⟹\frac{2}{5}=\frac{2\times 2}{5\times 2}=\frac{4}{10}$

$⟹\frac{4}{10}=0.4ft$

Now, let's mark these lengths on the number line.


Hence, rope A is the longest.