Question

What is subtracting fractions from mixed numbers for grade 4

Answer 1

see below

Explanation:

So when you have mixed numbers, you have to turn them into regular fractions. How you change them into regular fractions is multiplying the whole number by the denominator (the bottom number in the fraction) and then adding that number to the numerator (the top number in the fraction). So, for example you have

3
`(2)/(3)`

3 x 3 = 9

9 + 2 = 11

so, 3
`(2)/(3)` =
`(11)/(3)`

After you change the mixed fractions that you have into normal fractions, then you can normally subtract the two fractions. If they have the same denominator, then you just subtract the numerators like normal numbers and leave the denominators alone.

`(11)/(3)` -
`(2)/(3)` =
`(9)/(3)`

If there are different denominators, then you have to multiply one or more fractions by any number so that both fractions have the same denominator.

For example,

`(11)/(3)` -
`(7)/(6)`

you have to multiply
`(11)/(3)` by two, so that the denominator will equal six. This is the only way that you will be able to add or subtract the two fractions.

2(
`(11)/(3)`) =
`(22)/(6)`

`(22)/(6)` -
`(7)/(6)` =
`(22-7)/(6)` =
`(15)/(6)`

Then, if you are asked to, this fraction can be simplified if you divide both the denominator and the numerator by
`(3)/(3)`, so

`(15)/(6)` divided by
`(3)/(3)` is equal to
`(5)/(2)`.

This works because
`(3)/(3)` = 1.