Question

what should be added to (1/2 + 1/3 - 1/5) to get 3?​

Answer 1

Answer:

17/30

Step-by-step explanation:

let the number be x.Then,

(1/2+1/3-1/5) + x = 3

(15+10-6/30) + x = 3

19/30 + x = 3

x = 3 - 19/30

x = 71/30

Answer 2

Answer:

let us consider the number be x

$(\frac{1}{2} + \frac{1}{3} - \frac{1}{5} ) + x = 3 \\ lcm \: of \: 2 \: 3 \: and \: 5 \: is \: 30 \\ (\frac{1 \times 15}{2 \times 15} + \frac{1 \times 10}{3 \times 10} - \frac{1 \times 6}{5 \times 6} ) + x = 3\\ ( \frac{15}{30} + \frac{10}{30} - \frac{6}{30} ) + x = 3 \\ \frac{15 + 10 - 6}{30} + x = 3 \\ \frac{19}{30} + x = 3 \\ x = 3 - \frac{19}{30} \\ lcm \: = 30 \\ x = \frac{3 \times 30}{1 \times 30} - \frac{19}{30} \\ x = \frac{90}{30} - \frac{19}{30} \\ x = \frac{90 - 19}{30} \\ x = \frac{71}{30} \\ \frac{71}{30} \: is \: the \: number$