Question

The product to two fractions is $\frac{14}{15}$ and their quotient is $\frac{35}{24}$. The greater fraction is

• A. $\frac{7}{4}$
• B. $\frac{7}{6}$
• C. $\frac{7}{3}$
• D. $\frac{4}{5}$

Answer 1

The correct option is B $\frac{7}{6}$

Let the two fractions be $x$ and $y$.
Given $xy=\frac{14}{15}$ and $\frac{x}{y}=\frac{35}{24}$
$\Rightarrow xy\times \frac{x}{y}=\frac{14}{15}\times \frac{35}{24}$
$\Rightarrow x^2=\frac{49}{36}\Rightarrow x=\frac{7}{6}$
$\therefore y=\frac{14}{15}÷\frac{7}{6}=\frac{4}{5}$
$\therefore$ Greater Fraction $=\frac{7}{6}$