## Thinking Mathematically (6th Edition)

$\frac{53}{120}$
We start with the problem: $\frac{5}{24}$ + $\frac{7}{30}$. First, we must have fractions with the same denominator when we add. So, our first job is to find the common denominator for 24 and 30. A common denominator for the two numbers is 120. Now, we can write our fractions with a denominator of 120. $\frac{25}{120}$ + $\frac{28}{120}$ = $\frac{53}{120}$ Since we had fractions with the same denominator, we add the numerators and leave the denominator at 120. The fractional answer we ended up with cannot be simplified.