Question 59

What is the value of $$\frac{36 \div 9\times5\div15+7\times3}{6\div12\times3\div12+8\times3}$$?

Solution

= $$\frac{\frac{36}{9}\times\frac{5}{15}+7\times3}{\frac{6}{12}\times\frac{3}{12}+8\times3}$$

= $$\frac{\frac{4}{1}\times\frac{1}{3}+21}{\frac{1}{2}\times\frac{1}{4}+24}$$

= $$\frac{\frac{4}{3}+21}{\frac{1}{8}+24}$$

= $$\frac{\frac{4+21\times\ 3}{3}}{\frac{1+24\times\ 8}{8}}$$

= $$\frac{\frac{4+63}{3}}{\frac{1+192}{8}}$$

= $$\frac{\frac{67}{3}}{\frac{193}{8}}$$

= $$\frac{67}{3}\times\frac{8}{193}$$

= $$\frac{536}{579}$$

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