Mixed Number

"Mixed number" is a number you can only get from improper fraction by special way. So, any improper fraction may be written as a mixed number, too.

Example:

8 ⁄ 3 = 2 + 2 ⁄ 3
21 ⁄ 4 = 5 + 1 ⁄ 4

Now, you see any mixed number consists of a "whole part" and a "fractional part".

A "whole part" of any mixed number is always a whole number.

A "fractional part" of any mixed number is always a proper fraction.

It's clear, that every positive mixed number (as improper fraction) is always greater than "1 " or it equals to "1". And every negative mixed number is always less than "-1" or it equals to "-1".

It's interesting!

If you want to do addition or subtraction with mixed numbers, you have to do these operations with the whole and the fractional parts by the rules for whole numbers and fractions properly.

Example:

2 + 3 ⁄ 5   +   1 + 7 ⁄ 9   =   2 + 1 + 3 ⁄ 5 + 7 ⁄ 9 = 3 + (3 × 9 + 7 × 5) ⁄ 45 =
3 + 62 ⁄ 45 = 3 + 1 + 17 ⁄ 45 = 4 + 17 ⁄ 45

But, for doing multiplication, division, raising to a power with mixed numbers, you must change them into improper fractions first, then do these mathematical operations by the rules for improper fractions.

It's nothing difficult here. Do more sums with mixed numbers, and don't forget: " A cat in gloves catches no mice".