Question

Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]

\[\frac{3}{4} + \frac{5}{6} + \frac{- 7}{8}\]

Answer 1

\[\frac{3}{4} + \frac{5}{6} + \frac{- 7}{8}\]
\[ = \frac{18}{24} + \frac{20}{24} + \frac{- 21}{24}\]
\[ = \frac{18 + 20 + ( - 21)}{24}\]
\[ = \frac{18 + 20 - 21}{24}\]
\[ = \frac{17}{24}\]