## Algebra 1: Common Core (15th Edition)

$\frac{-73}{120}$
To subtract 2 fractions, we also need to convert them into a common denominator, just like when we add. In this case, we need to find a common multiple between 24 and 10. Since 120 is the smallest number divisible by both 24 and 10, it is our denominator. When multiplying a denominator by any number, to keep the value of that fraction unchanged, we must also multiply the numerator by that number. $\frac{7}{24}-\frac{9}{10}=\frac{7*5}{24*5}-\frac{9*12}{10*12}=\frac{35}{120}-\frac{108}{120}=\frac{35-108}{120}=\frac{-73}{120}$