Question

Add the following fractions:-

$5\frac{1}{4}+2\frac{1}{2}=?$

• A. $7\frac{3}{4}$
• B. $6\frac{3}{4}$
• C. $7\frac{1}{4}$
• D. $7\frac{3}{2}$

Answer 1

The correct option is A $7\frac{3}{4}$

$5\frac{1}{4}+2\frac{1}{2}=?$

Adding the whole number part and fractional part separately.
We have, $(5+2)+$$(\frac{1}{4}+\frac{1}{2})$

$=7+$$(\frac{1\times 2}{4\times 2}+\frac{1\times 4}{2\times 4})$

$=7+(\frac{2}{8}+\frac{4}{8})$

$=7+\left(\frac{6}{8}\right)$

$=7+\left(\frac{\frac{6}{2}}{\frac{8}{2}}\right)$

$=7\frac{3}{4}$

Note: Whenever we write a mixed fraction, we convert the fractional part in the lowest or standard form.