How to Divide Fractions (Mathematics Lesson)
Dividing FractionsFractions can be divided.
Imagine you wanted to divide 1/5 (one-fifth) by 2/3 (two-thirds).
How to Divide Fractions
An Example QuestionWhat is the answer to dividing the fractions below?
Now we are multiplying fractions. Multiply 1/5 (one-fifth) by 3/2.
1 × 3 = 3
5 × 2 = 10
A Real Example of How to Divide FractionsThe slider below gives a real example of how to divide fractions.
Here's a second test on dividing fractions.
Here's a third test on dividing fractions.
Dividing by a Fraction = Multiplying by the Upside-Down FractionDividing by a fraction is equivalent to multiplying by the reciprocal of the fraction (i.e the fraction turned upside-down).
For example, to divide by two-thirds:
Change the ÷ sign to a × sign and flip the fraction upside-down:
The operation becomes:
which is just the same as multiplying fractions.
Flip the Fraction You Are Dividing by - Not IntoWhen dividing one fraction by another, it is very important that the fraction after the ÷ sign is flipped over, not before it.
For example, to divide the following fractions:
The ÷ sign must be changed to a × sign. But it would be wrong to flip the first fraction upside-down:
It would be right to flip the second fraction over: