Question

If sum of two rational number is 8/25. If one of them is 3/16, find other

Answer 1

Let other be x,

According to the question,

3/16 + x = 8/25

x = 8/25 - 3/16

x = (8*16)/(25*16) - (3*25)/(16*25)

x = 128/400 - 75/400

x = (128 - 75)/400

x = 53/400

53/400 is the other number

Answer 2

$\frac{3}{16} + x = \frac{8}{25} \\ x = \frac{8}{25} - \frac{3}{16} \\ = \frac{128 - 75}{400} \\ = \frac{53}{400}$