Question

evaluate the expression shown below and write your answer as a fraction in simplest form. $\frac{5}{7}-\frac{1}{9}$

Explanation:

Step1: Find common denominator

The common denominator of 7 and 9 is \(7\times9 = 63\).

Step2: Rewrite fractions

Rewrite \(\frac{5}{7}\) as \(\frac{5\times9}{7\times9}=\frac{45}{63}\) and \(\frac{1}{9}\) as \(\frac{1\times7}{9\times7}=\frac{7}{63}\).

Step3: Subtract fractions

\(\frac{45}{63}-\frac{7}{63}=\frac{45 - 7}{63}=\frac{38}{63}\)

Answer:

\(\frac{38}{63}\)