Question

Add: 2 3/4+3 1/2 4/5+0.2​

Answer 1

Answer:

$2 \frac{3}{4} + 3 \frac{1}{2} \\ = \frac{2 \times 4 + 3}{4} + \frac{3 \times 2 + 1}{2} \\ = \frac{11}{4} + \frac{7}{2} \\ = \frac{11}{4} + \frac{7 \times 2}{2 \times 2} \\ = \frac{11 + 14}{4} \\ = \frac{25}{4} \\ = 6\frac{1}{4} \\ \\ ∴2 \frac{3}{4} + 3 \frac{1}{2} = 6 \frac{1}{4}$

$\frac{4}{5} + 0.2 \\ = \frac{4}{5} + \frac{2}{10} \\ = \frac{4 \times 2}{5 \times 2} + \frac{2}{10} \\ = \frac{8 + 2}{10} \\ = \frac{10}{10} \\ = 1 \\ \\ ∴ \frac{4}{5} + 0.2 = 1$

Answer 2

${2} \frac{3}{4} + 3 \frac{1}{2}$

$= \frac{11}{4} + \frac{7}{2}$

$l.c.m \: of \: 4 \: and \: 2 \: is \: 4$

$\frac{11}{4} + \frac{7 \times 2}{2 \times 2}$

$= \frac{11}{4} + \frac{14}{4}$

$= \frac{11 + 14}{4}$

$= \frac{25}{4}$

$= 6\frac{1}{4}$

$\frac{4}{5} + 0.2$

$= \frac{4}{5} + \frac{2}{10}$

$l.c.m \: of \: 5 \: and \: 10 \: is \: 10$

$= \frac{4 \times 2}{5 \times 2} + \frac{2}{10}$

$= \frac{8}{10} + \frac{2}{10}$

$= \frac{8 + 2}{10}$

$= \frac{10}{10}$

$= 1$