Question

Which of the following is the correct pair of like fractions of $\frac{2}{7}$ and $\frac{5}{6}$?

• A. $\frac{7}{10}$ and $\frac{6}{10}$
• B. $\frac{7}{12}$ and $\frac{5}{12}$
• C. $\frac{12}{42}$ and $\frac{30}{42}$

Answer 1

The correct option is C $\frac{12}{42}$ and $\frac{30}{42}$

To get the same denominator, we multiply the first fraction with 6 and the second fraction with 7 respectively.

$\frac{2}{7}=\frac{2\times 6}{7\times 6}=\frac{12}{42}$

$\frac{5}{6}=\frac{5\times 7}{6\times 7}=\frac{30}{42}$
Thus, option C is the correct answer