## Division of rational numbers

**Introduction :**

- Let us study about the division of rational numbers. In mathematics, rational numbers are defined as the numbers that are seemed to be in the form of simple ratios with two integer values as `a/b` where the value of ‘b’ should not be equal to ‘0’ under any case.
- These kinds of rational numbers can get divided with each other. Some of the examples for Dividing Rational Numbers are discussed below.

Division of rational numbers

**Division of rational numbers – example 1:**

- Do division for the following rational numbers as `((1/2)/(1/2))` ?

**Solution:**

- The given rational numbers for the division are `((1/2)/(1/2))`
- Then perform the division process as follows:
- = `((1/2)/(1/2))`
- = `(0.5)/(0.5)`
- =1
- Therefore the answer for the division of the given rational numbers `((1/2)/(1/2))` is found to be as ‘1’.

**Division of rational numbers – example 2:**

- Do division for the following rational numbers as `(((4+8)/3)/(2))` ?

**Solution:**

- The given rational numbers for the division are `(((4+8)/3)/(2))`
- Then perform the division process as follows:
- = `(((4+8)/3)/(2))`
- = `(12/3)/(2)`
- = `4/2`
- =2
- Therefore the answer for the division of the given rational numbers `(((4+8)/3)/(2))` is found to be as ‘2’.

**Division of rational numbers – example 3:**

- Do division for the following rational numbers as `((15/2)/(3/2))` ?

**Solution:**

- The given rational numbers for the division are `((15/2)/(3/2))`
- Then perform the division process as follows:
- = `((15/2)/(3/2))`
- = `((15/2)*(2/3))` (when we are writing the denominator values in reciprocal it get will multiplied with the numerator values)
- `(15/3)` (After cancellation of ‘2’ with each other we get this value)
- =5
- Therefore the answer for the division of the given rational numbers `((15/2)/(3/2))` is found to be as ‘5’.

**Division of rational numbers – example 4:**

- Do division for the following rational numbers as `((1/2)/((3*3)/2))` ?

**Solution:**

- The given rational numbers for the division are `((1/2)/((3*3)/2))`
- Then perform the division process as follows:
- = `((1/2)/((3*3)/2))`
- = `((1/2)/(9/2))`
- = `(1/2)*(2/9)` (when we are writing the denominator values in reciprocal it get will multiplied with the numerator values)
- = `1/9` (After cancellation of ‘2’ with each other we get this value)
- Therefore the answer for the division of the given rational numbers `((1/2)/((3*3)/2))` is found to be as ‘`1/9` ’.

**Division of rational numbers – exercises:**

- Do division for the following rational numbers as `((1/2)/(3/2))` ? (Answer: 1/3)
- Do division for the following rational numbers as `(((5*5)/2)/(5/2))` ? (Answer: 5)
- Do division for the following rational numbers as `((3/2)/(5/2))` ? (Answer: 0.6)