Question

How to subtract mixed numbers with unlike denominators?.

Answer 1

To subtract mixed numbers with different denominators, follow these steps:

1. Rename the fractions using a common denominator.

2. Subtract whole numbers from whole numbers. You might need to regroup first.

3. Subtract fractions from fractions.

4. Simplify, if needed.

Let's try it with
`2(3)/(5)-1(1)/(4)`

First, rename the fractions using a common denominator. The least common denominator of these fractions is 20. Multiply to make equivalent fractions with 20 as the denominator.

`(3x4)/(5x4)=(12)/(20)`
`(1x5)/(4x5)=(5)/(20)`

Rewrite the problem and subtract the whole numbers.

`2(12)/(20)-1(5)/(20)=1(?)/(?)`

Now, subtract the fractions. Subtract the numerators and keep the denominator the same.

`2(12)/(20)-1(5)/(20)=1(7)/(20)`

This answer is already in its simplest form, so there is no need to simplify it.