Question

Subtract: 5/8 - 1/6 =

Answer 1

$\frac{5}{8} - \frac{1}{6} = \frac{11}{24}$

Solution:

Given that,

We have to subtract the following:

$\frac{5}{8} - \frac{1}{6}$

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,

$\frac{5}{8} - \frac{1}{6} = \frac{5 \times 3}{8 \times 3} - \frac{1 \times 4}{6 \times 4}\\\\Simplify\\\\\frac{5}{8} - \frac{1}{6} = \frac{15}{24} - \frac{4}{24}\\\\\frac{5}{8} - \frac{1}{6} = \frac{15 - 4}{24}\\\\Simplify\\\\\frac{5}{8} - \frac{1}{6} = \frac{11}{24}$

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