Question

Work out the following:

$3\frac{5}{6}$$-$$2\frac{7}{15}$

Answer 1

Step1:- First convert the mixed fraction into an improper fraction:

$3\frac{5}{6}$$=\frac{23}{6}$

$2\frac{7}{15}$$=\frac{37}{15}$

Step 2:- Make the denominator of both fractions same.

Multiply $\frac{23}{6}$by $5$ and $\frac{37}{15}$ by $2$.

$\frac{23}{6}$$=\frac{23\times 5}{6\times 5}=\frac{115}{30}$

$\frac{37}{15}$$=\frac{37\times 2}{15\times 2}=\frac{74}{30}$

Step 3:- subtract the both fraction

$\frac{115}{30}-\frac{74}{30}=\frac{115-74}{30}=\frac{41}{30}$

Step 4:- Convert the improper fraction into a mixed fraction.

$\frac{41}{30}=1\frac{11}{30}$

Hence, $1\frac{11}{30}$ is the required solution.