Question

How do you subract `7-4\frac { 1} { 9}`?

Answer 1

`2 8/9`

Explanation:

1)
i) First of all, we need turn all the mixed numbers and whole numbers (most commonly known as integers) into improper fractions (or top-heavy fractions as some might call them).

`4 1/9 => 37/9`

Remember to multiply the whole number by the denominator and add the numerator to the result.

eg: `(4*9) + 1`

ii) Turn 7 into an improper fraction.

`7/1 => 63/9`

2) Now that both denominators are equal. One simply has to subtract them.

`(63-37)/9 = 26/9`

3) All you need to do is convert this improper fraction to a mixed number.

`26/9 => 2 8/9`

Remember to divide the numerator by the denominator and to use the remainder as the new numerator.

eg: `26/9` is `2` remainder `8`. So `2` is the whole number and the `8` is the numerator.

Hope I helped!

Answer 2

`4 8/9`

Explanation:

Remember that any whole number is made up of a number of equal parts. `8/8, 13/13, 5/5, 10/10` are all whole numbers equal to `1`.

If you are subtracting a number of parts from a whole number, find how many parts are left.

`8/8 - 1/8 = 7/8" "rarr" "8` parts - `1` part = `7` parts

`11/11-3/11 = 8/11`

`23/23 - 10/23 = 13/23" "rarr 23` parts - `10` parts = `13` parts

`3-1/7 = 2 6/7`

`19-3/11 = 18 8/11`

`5-3 1/5 = 5-3-1/5 = 2-1/5 = 1 4/5`

SO in this case, subtract `4` from `7`, then another `1/9`

`7-4 1/9 = 7-4-1/9`

`=5-1/9`

`4 8/9`