Question

The crew members are recording the distance traveled by them in $2$ days. If they covered $\frac{4}{5}$ of the distance on day $1$ and $\frac{8}{10}$ of the distance on day $2$, then on which day have they traveled more?

• A. They traveled more on day $1$
• B. They traveled more on day $2$
• C. They traveled an equal distance on both days
• D. Cannot be determined

Answer 1

The correct option is C They traveled an equal distance on both days

When comparing two unlike fractions, we convert the unlike fractions to like fractions and then compare the numerators.

Here we need to compare $\frac{4}{5}$ and $\frac{8}{10}$ . Let us make their denominator equal to $10.$

$\frac{4\times 2}{5\times 2}=\frac{8}{10}\text{and}\frac{8\times 1}{10\times 1}=\frac{8}{10}.$

By finding the equivalent fraction of $\frac{4}{5}$ we can see that it is equal to $\frac{8}{10}$.

Thus, they traveled an equal distance on both the days.