Question

5 2/9÷8/27×15/7+9/5
please simplify
​

Answer 1

Step-by-step explanation:

Given:

$5 \times \frac{2}{9} \div \frac{8}{27} \times \frac{15}{7} + \frac{9}{5}$

To find: Value of expression

Solution: Apply BODMAS rule,first solve division

$\frac{47}{9} \div \frac{8}{27} \times \frac{15}{7} + \frac{9}{5} \\ \\ = \frac{47}{9} \times \frac{27}{8} \times \frac{15}{7} + \frac{9}{5} \\ \\ = \frac{141}{8} \times \frac{15}{7} + \frac{9}{5} \\ \\ = \frac{2115}{56} + \frac{9}{5} \\ \\ = \frac{2115 \times 5 + 9 \times 56}{280} \\ \\ = \frac{10575 + 504}{280} \\ \\ = \frac{11079}{280} \\ \\ \bold{\red{5 \times \frac{2}{9} \div \frac{8}{27} \times \frac{15}{7} + \frac{9}{5}= 39.57}}$

Hope it helps you.

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