Question 55

What is the value of $$\frac{5}{11}$$ of $$\frac{3}{7}+\frac{7}{11}\times\frac{55}{21}-\frac{8}{22}\div\frac{16}{33}$$ ?

Solution

= $$\frac{5}{11}$$ of $$\frac{3}{7}+\frac{7}{11}\times\frac{55}{21}-\frac{8}{22}\div\frac{16}{33}$$

= $$\frac{15}{77}+\frac{5}{3}-\frac{8}{22}\times\frac{33}{16}$$

= $$\frac{15}{77}+\frac{5}{3}-\frac{1}{2}\times\frac{3}{2}$$

= $$\frac{15}{77}+\frac{5}{3}-\frac{3}{4}$$

= $$\frac{180+1540-693}{924}$$

= $$\frac{1027}{924}$$


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