Question

simplify the following 2 + 1 by 3 + 1 by-5​

Answer 1

Answer:

(3/2 + 1/2 + 1) - (1/2 + 1/3 + 1/5) = 59/30

Step-by-step explanation:

Subtract 1/2 + 1/3 + 1/5 from 3/2 + 1/2 + 1

(3/2 + 1/2 + 1) - (1/2 + 1/3 + 1/5) = (3/2 + 1/2 + 2/2) - (15/30 + 10/30 + 6/30)

(3/2 + 1/2 + 2/2) - (15/30 + 10/30 + 6/30) = 6/2 - 31/30

6/2 - 31/30 = 90/30 - 31/30

    = 59/30

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Answer 2

$2 + \frac{1}{3} + \frac{1}{ - 5}$

$\frac{2}{1} + \frac{1}{3} + \frac{ - 1}{5}$

$L. C. M. of 1, 3 and 5 = 15$

$\frac{2}{1} \times \frac{15}{15} + \frac{1}{3} \times \frac{5}{5} + \frac{ - 1}{5} \times \frac{3}{3}$

$\frac{30}{15} + \frac{5}{15} + \frac{ - 3}{15}$

$\frac{30 + 5 + ( - 3)}{15} = \frac{30 + 5 - 3}{15}$

$\frac{35 - 3}{15} = \frac{32}{15}$

$Answer is$

$\frac{32}{15}$