Question

solve a) 1/2+1/3+1/4+1/5 b) 1/4+1/6-1/8 *​

Answer 1

a)

$\frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} = \frac{30 + 20 + 15 + 12}{60} \\ = \frac{77}{60}$

b)

$\frac{1}{4} + \frac{1}{6} - \frac{1}{8} = \frac{6 + 4 - 3}{24} = \frac{7}{24}$

Hope this will be helpful.

Answer 2

➤ Answer :-

$\dashrightarrow \sf \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5}$

LCM of 2, 3,4 and 5 is 60.

$\dashrightarrow \sf \frac{1 \times 30}{2 \times 30} + \frac{1 \times 10}{3 \times 10} + \frac{1 \times 15}{4 \times 15} + \frac{1 \times 12}{5 \times 12}$

$\dashrightarrow \sf \frac{30}{60} + \frac{10}{60} + \frac{15}{60} + \frac{12}{60}$

$\dashrightarrow \sf \frac{30 + 10 + 15 + 12}{60}$

$\dashrightarrow \sf \frac{67}{60} = 1 \frac{7}{60}$

$\Huge\therefore$The answer is $\sf 1 \frac{7}{60}$

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$\dashrightarrow \sf \frac{1}{4} + \frac{1}{6} - \frac{1}{8}$

LCM of 4,6 and 8 is 24.

$\dashrightarrow \sf \frac{1 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4} - \frac{1 \times 3}{8 \times 3}$

$\dashrightarrow \sf \frac{6}{24} + \frac{4}{24} - \frac{3}{24} = \frac{6 + 4 - 3}{24}$

$\dashrightarrow \sf \frac{10 - 3}{24}$

$\dashrightarrow \sf \frac{7}{24}$

$\Huge\therefore$The answer is $\sf\frac{7}{24}$