Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
In order to subtract fractions, the denominators have to be the same. First, find the least common multiple of the denominators:
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24
Since 24 is the lowest common denominator, set each fraction equal to a denominator of 24 and multiply the numerator by the same factor:
[tex]\frac{2}{3}=\frac{16}{24}[/tex]
[tex]\frac{5}{8}=\frac{15}{24}[/tex]
Now, subtract the numerators and keep the denominator the same:
[tex]\frac{16}{24}-\frac{15}{24}=\frac{1}{24}[/tex]
