Question

Find the sum of the following mixed fraction

$3\frac{5}{6}+4\frac{4}{6}$

Answer 1

Step1:convert the mixed fractions into simple fractions:

$\begin{array}{rcl}3\frac{5}{6}& =& \frac{3\times 6+5}{6}\\ & =& \frac{23}{6}\\ 4\frac{4}{6}& =& \frac{4\times 6+4}{6}\\ & =& \frac{28}{6}\end{array}$

Step2:Add the fractions:

$\begin{array}{rcl}\frac{23}{6}+\frac{28}{6}& =& \frac{23+28}{6}\\ & =& \frac{51}{6}\end{array}$

Convert the simple fractions into the mixed fraction:

After dividing $51$ by $6$ , Quotient will be $8$, divisor will be $6$ and reminder will be $3$

therefore mixed fraction becomes,

$\frac{51}{6}=8\frac{3}{6}$

hence after adding both the fraction answer wiil be $\frac{51}{6}=8\frac{3}{6}$