Question

evaluate: $5\frac{3}{4}$$-$$1\frac{3}{5}$ .

Answer 1

Step 1. converting mixed $5\frac{3}{4}$ $-$ $1\frac{3}{5}$ fractions into improper fractions.

$=$$\frac{(5\times 4)+3}{4}$ $-$ $\frac{(1\times 5)+3}{5}$

$=$$\frac{(20+3)}{4}-\frac{(5+3)}{5}$

$=$$\frac{23}{4}-\frac{8}{5}$

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

L.C.M of $5$ and $4$ $=2\times 2\times 5$

$=$$20$

Step 3. After taking L.C.M of $5$ and $4$ , following the given calculation.

$=$$\frac{23}{4}-\frac{8}{5}$

$=\frac{(23\times 5)-(8\times 4)}{20}$

$=\frac{115-32}{20}$

$=\frac{83}{20}$ or $4\frac{3}{20}$

Hence, the required answer is $\frac{83}{20}$ or $4\frac{3}{20}$.