Question 70

A = Highest CommonFactor of $$\frac{3}{4}$$ and $$\frac{9}{16}$$
B = Least Common Multiple of $$\frac{16}{5}$$ and $$\frac{4}{25}$$
What is the value of A + B?

Solution

LCM of fractions= $$\frac{LCM of numerators}{HCF of denominators}$$

HCF of fractions= $$\frac{HCF of numerators}{LCM of denominators}$$

A = Highest CommonFactor of $$\frac{3}{4}$$ and $$\frac{9}{16}$$ = $$\frac{3}{16}$$

B = Least Common Multiple of $$\frac{16}{5}$$ and $$\frac{4}{25}$$ = $$\frac{16}{5}$$

A+B = $$\frac{3}{16} + \frac{16}{5} = \frac{271}{80}$$

So, the answer would be option d)$$\frac{271}{80}$$


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