To division fractions, we require to know these 3 straightforward parts. Mean we desire to division Largea over b by Largec over d, the setup need to look prefer this.

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Dividend – the number being divided or partitioned through the divisor. The is uncovered to the left of the department symbol.Divisor – the number that is dividing the dividend. That is located to the right the the department symbol.
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Now, apply the following straightforward steps to division these fractions.

General procedures on exactly how to divide Fractions


Step 1: find the reciprocal of the divisor (second fraction)by flipping the upside down. The mutual of Large a over b is Large d over c.Step 2: multiply the dividend (first fraction) through the reciprocal of the divisor.
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Step 3: leveling the “new” fraction that comes out after multiplication by reducing the to shortest term.

Examples of how to divide Fractions

Example 1: division the fountain below.


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This is our final answer due to the fact that the resulting portion is currently in its shortest term!

Example 2: division the fractions below.


Sometimes you might encounter the expression “inverse of a fraction”. That’s pretty much the same once we find the mutual of afraction. Therefore let’s walk ahead and findthe inverse of the divisor (second fraction).

The inverse of Large8 over 3 is just Large3 over 8.

Obviously, the next step is to find the product of the dividend and also the train station of the divisor.


The resulting answer is not streamlined yetbecause the numerator and also denominator have actually a typical divisor.Can you think that the typical divisors the 12 (numerator) and 48 (denominator)?

If we execute some trial and also error, the possible common divisors that 12 (numerator) and 48 (denominator) are:


But we want the greatest common divisorto minimize our answer come the lowest term, i m sorry in this instance is 12.

Divide the top and also bottom by GCF =12 to get the last answer.

This time we have actually a portion being split by a whole number. Notification that any kind of nonzero whole number deserve to be rewritten through a denominator of 1. Therefore, the number 10 is simply large10 = 10 over 1. In this form, that is easy to discover its inverse or reciprocal.


The greatest common divisor in between the numerator and denominator is 2. That means, we can reduce it come the shortest term by separating both the top and also bottom number by 2.


Solution:

Before we even divide the fractions, shot to watch if you deserve to reduce the existing fractions to its shortest term. Observe the the divisor (second number) can be diminished using a typical divisor that 2.


The fractions now are fairly smaller in size. Continue with department by multiply the dividend come the inverse of the divisor.


The final answer is diminished to a whole number. Great!

Example 6: division the portion by a totality number.

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Solution:

The divisor have the right to be rewritten v a denominator of 1. Thus, large15 = 15 over 1.

The difficulty becomes


You might also be interested in:

Adding and also Subtracting Fractions through the exact same DenominatorAdd and also Subtract fractions with different DenominatorsMultiplying FractionsSimplifying FractionsEquivalent FractionsReciprocal the a Fraction


MATH SUBJECTSIntroductory AlgebraIntermediate AlgebraAdvanced AlgebraAlgebra native ProblemsGeometryIntro come Number TheoryBasic mathematics Proofs
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