Question

What number should be added to (2/3+3/5) get. 4

Answer 1

Answer:

Let's assume x should be added to (2/3 + 3/5) to get 4/1.

$x + \frac{2}{3} +\frac{3}{5} =\frac{4}{1}$

$x + \frac{10+9}{15} = \frac{4}{1}$

$x + \frac{19}{15} = \frac{4}{1}$

$x=\frac{4}{1} - \frac{19}{15}$

$x = \frac{60-19}{15}$

$x = \frac{41}{15}$

Hence, 41/4 should be added to (2/3 + 3/5) to get 4.

Verification:

LHS = $\frac{41}{15} +\frac{2}{3} +\frac{3}{5}$

= $\frac{41+10+9}{15}$

= $\frac{60}{15}$

= $4$

RHS = 4

LHS = RHS hence, verified.

Hope it helps