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Question
Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]
\[\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}\]
Sum
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Solution
\[\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}\]
\[ = \frac{- 54}{60} + \frac{88}{60} + \frac{- 39}{60}\]
\[ = \frac{( - 54) + 88 + ( - 39)}{60}\]
\[ = \frac{- 54 + 88 - 39}{60}\]
\[ = \frac{- 5}{60}\]
\[ = \frac{- 1}{12}\]
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RELATED QUESTIONS
Evaluate each of the following:
\[\frac{4}{7} - \frac{- 5}{- 7}\]
What should be added to \[\left( \frac{1}{2} + \frac{1}{3} + \frac{1}{5} \right)\] to get 3?
Fill in the branks:
\[\frac{- 9}{14} + . . . = - 1\]
Multiply:
\[\frac{- 3}{17} \text{by} \frac{- 5}{- 4}\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 16}{21} \times \frac{14}{5}\]
Simplify:
\[\left( \frac{- 4}{3} \times \frac{12}{- 5} \right) + \left( \frac{3}{7} \times \frac{21}{15} \right)\]
Simplify:
\[\left( \frac{13}{9} \times \frac{- 15}{2} \right) + \left( \frac{7}{3} \times \frac{8}{5} \right) + \left( \frac{3}{5} \times \frac{1}{2} \right)\]
Fill in the blanks:
The number 0 is ..... the reciprocal of any number.
Find a rational number between −3 and 1.
Compare: `(-7)/2` and `5/2`
