# If the product of two fractions is $\frac{14}{15}$ and their corresponding division is $\frac{35}{24}$, then the largest fraction is

23 views
in Aptitude
closed
If the product of two fractions is $\frac{14}{15}$ and their corresponding division is $\frac{35}{24}$, then the largest fraction is
1. $\frac{7}{4}$
2. $\frac{7}{6}$
3. $\frac{6}{7}$
4. $\frac{7}{8}$

by (30.0k points)
selected

Correct Answer - Option 2 : $\frac{7}{6}$

Calculation:

Let the two fractions be x and y.

⇒ xy = $\frac{14}{15}$ and $\frac{x}{y}=\frac{35}{24}$

On multiplying both the conditions, we get

$⇒ xy \times \frac{x}{y}=\frac{14}{15}\times \frac{35}{24}$

⇒ x2 = 49/36

⇒ x = 7/6

∴ y = (14/15) ÷ (7/6)

⇒ y = 4/5

Clearly, from x and y, x is greater.

Hence, 7/6 is greater fraction.