Question

use the prime factorization method to find the least common denominator then find the sum or the difference

Answer 1

`(5)/(8)-(4)/(9)`

LCD = Lowest Common Denominator.

The prime factors of the denominators are as follows

`\begin{gathered} 8=2*2*2=2^3 \\ 9=3*3=3^2 \end{gathered}`

The LCD will be

`\begin{gathered} 2^3*3^2=72 \\ \text{LCD}=72 \end{gathered}`
`(5)/(8)-(4)/(9)=(45-32)/(72)=(13)/(72)`