Question

What is 3/4 - 5/7 ?

Answer 1

The solution of
`(3)/(4) - (5)/(7)` is
`(1)/(28) \text{ or } 0.0357`

Solution:

Given that we have to find the solution of
`(3)/(4) - (5)/(7)`

To solve the given sum, first make the denominators of both the fractions same

This can be done by taking L.C.M of both denominators

Step 1:

L.C.M of 4 and 7:

The prime factor of 4 = 2 x 2

The prime factor of 7 = 7

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 7

Multiply these factors together to find the LCM

LCM = 2 x 2 x 7 = 28

Thus L.C.M of denominators is 28

Step 2:

Solution of
`(3)/(4) - (5)/(7)`

Multiply the denominator by a number to get 28 and multiply that same number with numerator also

`(3)/(4) - (5)/(7) = (3 * 7)/(4 * 7) - (5 * 4)/(7 * 4)=(21)/(28) - (20)/(28)\\\\(21)/(28) - (20)/(28) = (21-20)/(28) = (1)/(28)\\\\(1)/(28) = 0.0357`

Thus solution of
`(3)/(4) - (5)/(7)` is
`(1)/(28) \text{ or } 0.0357`