Question

Find the mean of the given fractions:

$2\frac{1}{7}$ and $3\frac{1}{7}$

• A. $\frac{37}{7}$
• B. $\frac{19}{7}$
• C. $\frac{37}{14}$
• D. $2$

Answer 1

Answer: (C)

$\frac{37}{14}$

The given fractions are

$2\frac{1}{7}$ and $3\frac{1}{7}$

$Mean=\frac{(2\frac{1}{7}+3\frac{1}{7})}{2}$

$=\frac{(\frac{15}{7}+\frac{22}{7})}{2}$

$=\left(\frac{15+22}{7}\right)\times \frac{1}{2}$

$=\frac{37}{7}\times \frac{1}{2}$

$=\frac{37}{14}$

Hence, the mean of the given fractions is $\frac{37}{14}$ .