You are watching: How to move a variable from the denominator to the numerator
Solve for x:
Step 1: discover the least usual denominator,
The numerator of a portion is the amount of 4 and also 5 times the denominator. If you division the portion by 2, the molecule is 3 time the denominator. Uncover the streamlined version of the fraction.
Let molecule = N and also denominator = D.
According come the very first statement,
N = (D x 5) + 4.
According come the 2nd statement, N / 2 = 3 * D.
Let"s multiply the 2nd equation through –2 and include itthe first equation:
–N = –6D
–6D + (D x 5) + 4 = 0
–1D + 4 = 0
D = 4
Thus, N = 24.
Therefore, N/D = 24/4 = 6.
To deal with this equation we have to multiply both sides by the denominator to get rid of the fraction.
Doing this yields
Then to solve the last step is to isolate the change by separating both sides by 12.Thus,
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To settle an equation through a change in a fraciton, law the denominator as a constant value and multiply both political parties of the equation through the denominator in order to get rid of it.
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