Question

Evaluate using properties
5/3×2/7+5/3×3/7+5/3​

Answer 1

Answer:

20/7

Step-by-step explanation:

$\frac{5}{3} \times \frac{2}{7} + \frac{5}{3} \times \frac{3}{7} + \frac{5}{3} \\ = ( \frac{5}{3} \times \frac{2}{7} ) + ( \frac{5}{3} \times \frac{3}{7} ) + \frac{5}{3} \\ = \frac{10}{21} + \frac{15}{21} + \frac{35}{21} \\ \: because ( \frac{5}{3} = \frac{5 \times 7}{3 \times 7} = \frac{35}{21} ) \\ = \frac{10 + 15 + 35}{21} = \frac{60}{21} = \frac{20}{7}$

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