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fraction division
 Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems
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# fraction division

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```fraction division

Dividing fractions is almost as simple a multiplying them.
Unlike adding and subtracting, where care must be taken to
ensure that both fractions have a common denominator, the
division operation has no such requirement.

Dividing by a number is the same as multiplying by the number's
reciprocal. For example:

dividing by 2 is the same as multiplying by 1/2
dividing by 4 is the same as multiplying by 1/4

Simply invert (i.e. flip over) the second fraction, then
multiply the new numerators (top numbers), and the new
denomominators (bottom numbers), and place the resulting
answers in their respective top / bottom location in the
answer fraction. Then reduce the fraction, if possible

Example 1: Simple fraction division

1       1
---  ? --- =  ?
1       2

Invert the 1/2, creating 2/1, then multiply numerators and

1     2      2
--- x ---  = ---  =  2
1     1      1

Example 2: Fraction division requiring reducing and
conversion:

2     2
--- ?---  =  ?
4     5

Invert the 2/5, then multiply:

2     5      10
--- x ---  = -----
4     2       8

Then reduce the fraction:

10      5
----- = ---
8      4

Then convert the improper fraction to a mixed
number:

5        1
--- =  1 ---
4        4

```

 Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems
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