Question

evaluate the expression shown below and write your answer as a fraction in simplest f\\(\frac{7}{8} - \frac{1}{10}\\)

Explanation:

Step1: Find a common denominator

The denominators are 8 and 10. The least common denominator (LCD) of 8 and 10 is 40. Rewrite the fractions with the LCD:
$\frac{7}{8}=\frac{7\times5}{8\times5}=\frac{35}{40}$
$\frac{1}{10}=\frac{1\times4}{10\times4}=\frac{4}{40}$

Step2: Subtract the fractions

Subtract the numerators while keeping the denominator the same:
$\frac{35}{40}-\frac{4}{40}=\frac{35 - 4}{40}=\frac{31}{40}$

Answer:

$\frac{31}{40}$