Question

Find the value of $7\frac{1}{3}-3\frac{1}{4}$

Answer 1

To find the value of this equation first we need to convert the mixed fraction to improper fractions.

So, $7\frac{1}{3}-3\frac{1}{4}=\frac{22}{3}-\frac{13}{4}$

Now, taking L.C.M of denominator which is $4$ and $3=4\times 3=12$.

$\begin{array}{rcl}\frac{22}{3}-\frac{13}{4}& =& \frac{22\times 4}{3\times 4}-\frac{13\times 3}{4\times 3}\\ & =& \frac{88}{12}-\frac{39}{12}\\ & =& \frac{49}{12}\\ & =& 4\frac{1}{12}\end{array}$

Hence, the answer is $4\frac{1}{12}$.