Question

greg finished his chemistry assignment in $\frac{1}{3}$ hours. then he completed his english assignment in $\frac{5}{8}$ hours. what was the total amount of time greg spent doing these two assignments? write your answer as a fraction in simplest form.

Explanation:

Step1: Find the common denominator

The denominators are \(3\) and \(8\). The least common multiple of \(3\) and \(8\) is \(24\).

Step2: Rewrite the fractions with the common denominator

For \(\frac{1}{3}\), multiply numerator and denominator by \(8\): \(\frac{1\times8}{3\times8}=\frac{8}{24}\).
For \(\frac{5}{8}\), multiply numerator and denominator by \(3\): \(\frac{5\times3}{8\times3}=\frac{15}{24}\).

Step3: Add the fractions

\(\frac{8}{24}+\frac{15}{24}=\frac{8 + 15}{24}=\frac{23}{24}\).

Answer:

\(\frac{23}{24}\)