32+56+ 45=32+5 #215;56 #215;5+ 4 #215;65 #215;6=32+2530+ 2430=32+25+ 2430=32+25 2430=32+130=3 #215;152 #215;15+130=4530+130 =45+130 =4630 =2315 ...

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Properties of Multiplication of Integers

Simplify:2 32...

Question

Simplify:

(2) $\frac{3}{2} + (\frac{5}{6} + \frac{- 4}{5})$

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Solution

$\frac{3}{2} + (\frac{5}{6} + \frac{- 4}{5}) = \frac{3}{2} + (\frac{5 \times 5}{6 \times 5} + \frac{- 4 \times 6}{5 \times 6}) = \frac{3}{2} + (\frac{25}{30} + \frac{- 24}{30}) = \frac{3}{2} + (\frac{25 + (- 24)}{30}) = \frac{3}{2} + (\frac{25 - 24}{30}) = \frac{3}{2} + \frac{1}{30} = \frac{3 \times 15}{2 \times 15} + \frac{1}{30} = \frac{45}{30} + \frac{1}{30} = \frac{45 + 1}{30} = \frac{46}{30} = \frac{23}{15}$

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