Question

Lobo has used $\frac{1}{4}m$ of a rope for the tent. The sailor has used $\frac{2}{5}m$ of the rope to tie things. Who used more rope?

• A. Cannot be determined
• B. Sailor
• C. Lobo
• D. Both Lobo and the sailor used an equal length of the rope.

Answer 1

The correct option is B Sailor

Just like we compare fractions by making the denominators equal, we can also do it by making the numerators equal.

The first fraction has $1$ as its numerator and the second fraction has $2$ as its numerator. Let's make both the numerators the same.

Calculate the equivalent fraction of $\frac{1}{4}$ with $2$ as the numerator.

$=\frac{1\times 2}{4\times 2}=\frac{2}{8}m$

The second fraction is $\frac{2}{5}$ . Now, both the fractions have the same numerator.

If two fractions have the same numerator, the fraction with the smallest denominator has the highest value.

So, $\frac{2}{5}>\frac{2}{8}\text{or}\frac{2}{5}>\frac{1}{4}.$

Thus, the sailor used more rope than Lobo.