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mojhsa [17]
3 years ago
14

Using appropriate properties find 9/16×4/12+9/16×-5/9P. S. Show full work asap​

History
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = -\frac{1}{8}

Explanation:

Given

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9}

Required

Solve

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9}

Apply distributive property

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = \frac{9}{16}(\frac{4}{12}-\frac{5}{9})

Solve the bracket

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = \frac{9}{16}(\frac{12 - 20}{36})

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = \frac{9}{16}(\frac{-8}{36})\\

Simplify

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = \frac{9}{16}(\frac{-2}{9})

Open bracket

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = \frac{1}{16} * \frac{-2}{1}

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = -\frac{2}{16}

\frac{9}{16}*\frac{4}{12}+\frac{9}{16}*-\frac{5}{9} = -\frac{1}{8}

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