Question

3
—
4 divided by

9
—
10

Answer 1

Answer:

$\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}$

Step-by-step explanation:

Fraction Division

The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:

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

We are required to divide:

$\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}$

Applying the above rule:

$\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\cdot\frac{10}{9}=\frac{30}{36}$

Simplifing by 6:

$\boxed{\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}}$