Question

Simplify

$3\frac{3}{7}-1\frac{2}{9}$

Answer 1

Step1: convert the mixed fractions into simple fractions:

$\begin{array}{rcl}3\frac{3}{7}& =& \frac{3\times 7+3}{7}\\ & =& \frac{24}{7}\\ 1\frac{2}{9}& =& \frac{1\times 9+2}{9}\\ & =& \frac{11}{9}\end{array}$

Step2: Addition of the fractions:

LCM of $7$ and $9$ is $63$

$\begin{array}{rcl}\frac{24}{7}-\frac{11}{9}& =& \frac{24\times 9}{7\times 9}-\frac{11\times 7}{9\times 7}\\ & =& \frac{216}{63}-\frac{77}{63}\\ & =& \frac{216-77}{63}\\ & =& \frac{139}{63}\end{array}$

Hence after subtraction of the fractions answer will be $\frac{139}{63}$

Therefore after converting the simple fraction into the mixed fraction answer will be $2\frac{13}{63}$