[tex]\frac{5}{8} - \frac{1}{6} = \frac{11}{24}[/tex]
Solution:
Given that,
We have to subtract the following:
[tex]\frac{5}{8} - \frac{1}{6}[/tex]
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,
[tex]\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}[/tex]
Thus Subtract: 5/8 - 1/6 = 11/24