# Dividing Fractions

## Related Calculator: Fractions Calculator

To divide fraction by a fraction multiply numerator of the first fraction by the denominator of the second fraction and denominator of the first fraction by the numerator of the second fraction, i.e. color(green)(a/b-:c/d=(a/b)/(c/d)=(ad)/(bc)).

After this you, possibly, need to reduce fraction.

Note! Rules for determining sign of the result are same as when dividing integers.

Example 1 . Divide 5/12 by 11/7.

color(blue)(5)/color(red)(12)-:color(red)(11)/color(blue)(7)=(5*7)/(12*11)=35/132.

Fraction is irreducible.

Answer: 35/132.

Next example.

Example 2. Divide 16/11 by 8/3.

(color(blue)(16)/color(red)(11))/(color(red)(8)/color(blue)(3))=(16*3)/(11*8)=48/88.

Reduce fraction: 48/88=6/11.

Answer: 6/11.

Next example.

Example 3. Divide 39/7 by 5/2 .

(39/7)/(5/2)=(39*2)/(5*7)=78/35.

Convert to mixed number if needed: 78/35=2 8/35.

Answer: 78/35=2 8/35.

Now, it is time to practice.

Exercise 1. Divide 2/5 by 1/12.

Answer: 24/5=4 4/5.

Next exercise.

Exercise 2. Divide 15 by -5/7 .

Answer: -21. Hint: 15=15/1.

Last exercise.

Exercise 3. Divide -21/5 by -35/4.

Answer: 12/25.