Question

Evaluate x/y when x=9/4 and y=3/5

Answer 1

Answer:

$\displaystyle x/y=\frac{15}{4}$

Step-by-step explanation:

Division of fractions

To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:

$\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}$

We will evaluate x/y when x=9/4 and y=3/5:

$\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}$

$\displaystyle=\frac{45}{12}$

Simplifying:

$\displaystyle \boxed{x/y=\frac{15}{4}}$