Question

Subtract: 5/8 - 1/6 =

1/8

1/6

11/24

1/2
(those on top are the answers.)

Answer 1

`(5)/(8) - (1)/(6) = (11)/(24)`

Solution:

Given that,

We have to subtract the following:

`(5)/(8) - (1)/(6)`

Make the denominators same

Take LCM for denominators

LCM of 8 and 6

List all prime factors for 8 and 6

Prime Factorization of 6 is: 2 x 3

Prime Factorization of 8 is: 2 x 2 x 2

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

2, 2, 2, 3

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 = 24

Therefore,

`(5)/(8) - (1)/(6) = (5 * 3)/(8 * 3) - (1 * 4)/(6 * 4)\\\\Simplify\\\\(5)/(8) - (1)/(6) = (15)/(24) - (4)/(24)\\\\(5)/(8) - (1)/(6) = (15 - 4)/(24)\\\\Simplify\\\\(5)/(8) - (1)/(6) = (11)/(24)`

Thus Subtract: 5/8 - 1/6 = 11/24