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Question
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{2}{3} + \frac{- 5}{6} + \frac{- 7}{9}\]
Sum
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Solution
\[\frac{2}{3} + \frac{- 5}{6} + \frac{- 7}{9}\]
\[ = \frac{12}{18} + \frac{- 15}{18} + \frac{- 14}{18}\]
\[ = \frac{12 + ( - 15) + ( - 14)}{18}\]
\[ = \frac{12 - 15 - 14}{18}\]
\[ = \frac{- 17}{18}\]
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RELATED QUESTIONS
Add the following rational numbers.
\[\frac{- 5}{7} and \frac{3}{7}\]
Evaluate each of the following:
\[\frac{2}{3} - \frac{3}{5}\]
Simplify:
\[\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}\]
Simplify:
\[\left( \frac{- 4}{3} \times \frac{12}{- 5} \right) + \left( \frac{3}{7} \times \frac{21}{15} \right)\]
Simplify:
\[\left( \frac{13}{9} \times \frac{- 15}{2} \right) + \left( \frac{7}{3} \times \frac{8}{5} \right) + \left( \frac{3}{5} \times \frac{1}{2} \right)\]
Divide:
\[5 \text{by} \frac{- 5}{7}\]
Insert five rational number between:
`-(3)/(4) and -(2)/(5)`
If `p/q` is a rational number, then p cannot be equal to zero.
Zero is a rational number.
All decimal numbers are also rational numbers.
