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:
The reciprocal of is
Any number multiplied by its reciprocal will always be 1, for example:
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:
The following video shows more examples of dividng fractions:
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