Fraction Division

Dividing a fraction by a fraction is fraction spanision.

Rules for Fraction Division

To spanide, we convert the fraction spanision process into fraction multippcation process by using following steps

We change the ÷ (spanision sign) into × (multippcation sign) and write the reciprocal of number to right of the sign.

We multiply the numerators.

We multiply the denominators.

We simppfy and re-write the fraction, if required, in simplest form.

Divide $frac{3}{8}$ ÷ $frac{5}{12}$

Solution

Step 1:

Since spaniding by a fraction is same as multiplying by its reciprocal

$frac{3}{8}$ ÷ $frac{5}{12}$ = $frac{3}{8}$ × $frac{12}{5}$ = $frac{(3 × 3)}{(2 × 5)}$ = $frac{9}{10}$

Step 2:

So, $frac{3}{8}$ ÷ $frac{5}{12}$ = $frac{9}{10}$

Divide $frac{5}{6}$ ÷ $frac{7}{9}$

Solution

Step 1:

Since spaniding by a fraction is same as multiplying by its reciprocal

$frac{5}{6}$ ÷ $frac{7}{9}$ = $frac{5}{6}$ × $frac{9}{7}$ = $frac{(5 × 3)}{(2 × 7)}$ = $frac{15}{14}$

Step 2:

So, $frac{5}{6}$ ÷ $frac{7}{9}$ = $frac{15}{14}$