Dividing Fractions
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What is the reciprocal of a fraction?
Before we can perform division of fractions, we need to first understand the concept of reciprocals.
How to divide by a fraction?
To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. In other words, when you change the operation from ÷ to ×, you need to change the second fraction to its reciprocal.
The following diagram gives an example of dividing fractions using reciprocal. Scroll down the page for more examples and solutions.
Dividing Fractions
More Lessons for Arithmetic
Math Worksheets
What is the reciprocal of a fraction?
Before we can perform division of fractions, we need to first understand the concept of reciprocals.
The reciprocal of a fraction is a fraction obtained by switching the values in the numerator and the denominator of the given fraction.
The reciprocal of 
The reciprocal of 
The reciprocal of 
or 8.
To get the reciprocal of a mixed number, first convert to improper fraction and then invert, for example:
Any number multiplied by its reciprocal will always be 1, for example:
The reciprocal of 
is 
How to divide by a fraction?
To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. In other words, when you change the operation from ÷ to ×, you need to change the second fraction to its reciprocal.
Example:
Solve 
Solution:
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