Question

The $L.C.M.$ and $H.C.F.$ of two fractions are $\frac{84}{5}$ and $\frac{4}{75}.$ If one of the fractions is $\frac{12}{25}$ then the other fraction is

• A. $\frac{7}{3}$
• B. $\frac{3}{5}$
• C. $\frac{28}{15}$
• D. $\frac{84}{75}$

Answer 1

The correct option is A $\frac{7}{3}$

$\begin{array}{c}L.C.M=\frac{84}{5}\\ H.C.F=\frac{4}{75}\\ onefraction=\frac{12}{25}\\ \\ Letanotherfraction=\frac{a}{b}\\ H.C.F=\frac{H.C.Fofaand12}{L.C.Mofband25}\\ L.C.F=\frac{H.C.Fofaand12}{L.C.Mofband25}\\ then\\ \frac{a}{b}=\frac{7}{3}\\ Hence,theoptionAisthecorrectanswer.\end{array}$