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Question
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 9}{16} \times \frac{- 64}{- 27}\]
Sum
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Solution
\[\frac{- 9}{16} \times \frac{- 64}{- 27} = \frac{- 9}{16} \times \frac{- 4 \times 16}{- 3 \times 9} = \frac{- 4}{3}\]
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RELATED QUESTIONS
Subtract the first rational number from the second in each of the following:
\[\frac{1}{4}, \frac{- 3}{8}\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
\[\frac{6}{7} + 1 + \frac{- 7}{9} + \frac{19}{21} + \frac{- 12}{7}\]
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\[\frac{- 8}{25} \text{by} \frac{- 5}{16}\]
Simplify each of the following and express the result as a rational number in standard form:
\[\frac{- 5}{9} \times \frac{72}{- 25}\]
Simplify:
\[\left( \frac{3}{2} \times \frac{1}{6} \right) + \left( \frac{5}{3} \times \frac{7}{2} \right) - \left( \frac{13}{8} \times \frac{4}{3} \right)\]
Fill in the blanks:
\[\frac{- 4}{5} \times \left( \frac{5}{7} + \frac{- 8}{9} \right) = \left( \frac{- 4}{5} \times . . . . . \right) \times \frac{- 8}{9}\]
Find (x + y) ÷ (x − y), if
\[x = \frac{2}{7}, y = \frac{4}{3}\]
For every rational number x, x × 0 = x.
Zero is a rational number.
Write the following numbers in the form `p/q`, where p and q are integers:
Six-eighths
