Question

If you subtract 2/5 from a number and divide the result by 8/3, we get 11/4 ,the number is

Answer 1

Answer:

229/160

Step-by-step explanation:

Let the number be x.

If we divide it by 2/5 , result would be x-2/5.

Again, if we divide the result by 3/8, we get (x-2/5)÷3/8

By given condition,

(x-2/5)÷3/8 = 11/4

[(5x-2)÷5]÷ 3/8 = 11/4

[(5x-2) ÷5] = 11/4 ×3/8

(5x-2)÷5 = 33/32

5x-2= 33/32×5

5x -2 = 165/32

5x = (165/32) + 2

5x = (165 + 64) ÷ 32

5x = 229÷32

x = (229/32) ÷ 5

x = 229/160