Question

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

Answer 1

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

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

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

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