Question

Which of the following fraction is the greatest?

• A. $\frac{1}{7}$
• B. $\frac{3}{7}$
• C. $\frac{5}{7}$
• D. $\frac{6}{7}$

Answer 1

The correct option is D $\frac{6}{7}$

When fractions have the same denominator, then the largest fraction is the one with the largest numerator.

Let's compare the fractions $\frac{1}{7},\frac{3}{7},\frac{5}{7},$ and $\frac{6}{7}.$

All the fractions have same denominators.

So, just compare the numerators 1, 3, 5 and 6.

Since $6>5>3>1$
$\therefore \frac{6}{7}>\frac{5}{7}>\frac{3}{7}>\frac{1}{7}.$
So, $\frac{6}{7}$ is the greatest fraction among the given fractions.