act Math aid » Algebra » Algebraic fractions » exactly how to deal with for a variable as component of a fraction

Solve for

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You are watching: How to move a variable from the denominator to the numerator

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Explanation:

Solve because that x:

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Step 1: uncover the least typical denominator,

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, and change the fractions accordingly:

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Solve for

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:

*

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The numerator of a fraction is the amount of 4 and 5 time the denominator. If you divide the fraction by 2, the molecule is 3 times the denominator. Uncover the simplified version the the fraction.


Explanation:

Let numerator = N and denominator = D.

According come the an initial statement, 

N = (D x 5) + 4.

According to the second statement, N / 2 = 3 * D. 

Let"s multiply the second equation by –2 and include itthe very first equation:

–N = –6D

+

=

–6D + (D x 5) + 4 = 0

–1D + 4 = 0

D = 4

Thus, N = 24.

Therefore, N/D = 24/4 = 6.


Explanation:

To solve this equation we need to multiply both political parties by the denominator to remove the fraction.

Doing this yields

*
 

Then to deal with the last step is to isolation the variable by dividing both political parties by 12.Thus, 

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.

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Explanation:

To solve an equation v a change in a fraciton, law the denominator together a consistent value and multiply both sides of the equation through the denominator in order to remove it.

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