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# Dividing Fractions

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# Dividing Fractions

Dividing a fraction by another fraction is the same as multiplying the first fraction by the reciprocal of the second fraction.

Here, and are not The division of two fractions can then be considered as a multiplication of two fractions. Consider the following division of two fractions.
The quotient can be found in three steps.
1
Multiply by the Reciprocal of the Divisor
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The division of fractions begins by keeping the first fraction as is. Then change the division sign with the multiplication sign and write the reciprocal of the second fraction. Note that the reciprocal of a fraction is found by switching the numerator and denominator of the fraction. 2
Multiply the Fractions
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The result is now a multiplication of two fractions. The product of the fractions is equal to the product of the numerators divided by the product of the denominators.
3
Simplfy if Possible
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The resulting fraction can be simplified because and have a common factor.
The greatest common factor of the numbers is Simplify the fraction by
The divison expression is equal to
The same steps above are also used when dividing a fraction by a whole number. This is because every whole number can be thought of as a fraction with a denominator of Study online with Mathleaks, at the forefront of mathematics. Available on mobile and computer, all math courses are interconnected following the curriculum. Easily find content and theories for the subject you are studying. Exercises with associated answers, hints, and solutions – all connected in one place, and easy to use.

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