Question

Select the greatest fraction.

• A. $\frac{28}{12}$
• B. $\frac{27}{18}$
• C. $\frac{52}{24}$
• D. $\frac{26}{6}$

Answer 1

The correct option is D $\frac{26}{6}$

Since the given fractions are unlike fractions, we first have to convert them to equivalent fractions with same denominators.

$\frac{28}{12}=\frac{28÷2}{12÷2}=\frac{14}{6}$

$\frac{27}{18}=\frac{27÷3}{18÷3}=\frac{9}{6}$

$\frac{52}{24}=\frac{52÷4}{24÷4}=\frac{13}{6}$

$\frac{26}{6}$ already has 6 in the denominator.

Since $9<13<14<26,$ we have $\frac{27}{18}<\frac{52}{24}<\frac{28}{12}<\frac{26}{6}.$

Thus, $\frac{26}{6}$ is the greatest among the given fractions.