Question

Simplify using properties 3/4x(5/9+16/7)​

Answer 1

Step-by-step explanation:

$\frac{3}{4} \times ( \frac{5}{9} + \frac{16}{7} ) \\ = ( \frac{3}{4} \times \frac{5}{9} ) + (\frac{3}{4} \times \frac{16}{7} ) \\ = ( \frac{1}{4} \times \frac{5}{3} ) + ( \frac{3}{1} \times \frac{4}{7} ) \\ = \frac{5}{12} + \frac{12}{7} \\ lcm \: \: of \: 12 \: and \: 7 = 84 \\ = \frac{35 + 144}{84} \\ = \frac{179}{84} \\ = 2 \frac{11}{84}$

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