Dividing Mixed Numbers

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Example 1 Simple Mixed Number Division

1	3		2	1
	---	/		---	=		---
	5			10

Both mixed numbers must be changed to improper fractions.

1 and 3/5 would be 8/5 as an improper fraction.

2 and 1/10 would be 21/10 as an improper fraction.

8	/	21
---		---	=	---
5	/	10

Now you have both mixed numbers as improper fractions. You will need to change the problem to a multiplication problem. You will also need to use the reciprocal of the second fraction (divisor).

8		10
---	x	---	=	---
5		21

Now you should try to cancel. Divide the first denominator and the second numerator by 5. This will save you from having to reduce later.

8		2		16
---	x	---	=	---
1		21		21

Your answer of 16/21 is proper and in lowest terms because the only thing that divides into both the numerator and denominator is the number 1.