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

Solve for

.

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

Explanation:

Solve because that x:

Step 1: uncover the least typical denominator,

, and change the fractions accordingly:

Solve for

:

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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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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