Question

Lobo covers $\frac{3}{7}\text{km}$ of a distance on day $1$ and $\frac{6}{5}\text{km}$ of the distance on day $2$. On which day does he cover less distance?

• A. Cannot be determined
• B. He covers the same distance on both days.
• C. Day 2
• D. Day 1

Answer 1

The correct option is D Day 1

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

The first fraction has $3$ as its numerator and the second fraction has $6$ as its numerator. Let's make both the numerators the same.

Calculate the equivalent fraction of $\frac{3}{7}$ with $6$ as the numerator.

$=\frac{3\times 2}{7\times 2}=\frac{6}{14}$

The second fractions is $\frac{6}{5}$ . Now, both the fractions have the same numerator.

If two fractions have the same numerator, the fraction having the smaller denominator has the higher value.

So, $\frac{6}{5}>\frac{6}{14}\text{or}\frac{6}{5}>\frac{3}{7}$

Thus, Lobo covers less distance on day $1.$