Question

Evaluate : $=7\frac{3}{5}-1\frac{2}{3}-1\frac{1}{15}$.

Answer 1

Step 1. converting mixed fractions into improper fractions.

$=$$\frac{(7\times 5)+3}{5}-\frac{(1\times 3)+2}{3}-\frac{(1\times 15)+1}{15}$

$=\frac{38}{5}-\frac{5}{3}-\frac{16}{15}$

Step 2. After step 1, we have to take L.C.M of denominators of all given fractions.

L.C.M of $5,3$ and $15$ $=$ $3\times 5$

$=$$15$.

Step 3. After taking L.C.M of $5,3$ and $15$, following the given calculation.

$=\frac{38}{5}-\frac{5}{3}-\frac{16}{15}$

$=\frac{(38\times 3)-(5\times 3)-(16\times 1)}{15}$

$=\frac{114-15-16}{15}$

$=$$\frac{114-31}{15}$

$=\frac{83}{15}$ or $5\frac{8}{15}$

Hence, the required answer is $\frac{83}{15}$ or $5\frac{8}{15}$.