Sum
Use the distributivity of multiplication of rational numbers over their addition to simplify:
\[\frac{3}{4} \times \left( \frac{8}{9} - 40 \right)\]
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Solution
\[ \frac{3}{4} \times (\frac{8}{9} - 40) = \frac{3}{4} \times \frac{8}{9} - \frac{3}{4} \times 40 = \frac{2}{3} - 30 = \frac{2 - 90}{3} = \frac{- 88}{3}\]
Concept: Properties of Rational Numbers - Distributivity of Multiplication Over Addition for Rational
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