Solve for V (5V)/4-3=(7V)/6

Math
5V4-3=7V6
Move 7V6 to the left side of the equation by subtracting it from both sides.
5V4-3-7V6=0
Simplify 5V4-3-7V6.
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To write 5V4 as a fraction with a common denominator, multiply by 33.
5V4⋅33-7V6-3=0
To write -7V6 as a fraction with a common denominator, multiply by 22.
5V4⋅33-7V6⋅22-3=0
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 5V4 and 33.
5V⋅34⋅3-7V6⋅22-3=0
Multiply 4 by 3.
5V⋅312-7V6⋅22-3=0
Multiply 7V6 and 22.
5V⋅312-7V⋅26⋅2-3=0
Multiply 6 by 2.
5V⋅312-7V⋅212-3=0
5V⋅312-7V⋅212-3=0
Combine the numerators over the common denominator.
5V⋅3-7V⋅212-3=0
Simplify each term.
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Simplify the numerator.
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Factor V out of 5V⋅3-7V⋅2.
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Factor V out of 5V⋅3.
V(5⋅3)-7V⋅212-3=0
Factor V out of -7V⋅2.
V(5⋅3)+V(-7⋅2)12-3=0
Factor V out of V(5⋅3)+V(-7⋅2).
V(5⋅3-7⋅2)12-3=0
V(5⋅3-7⋅2)12-3=0
Multiply 5 by 3.
V(15-7⋅2)12-3=0
Multiply -7 by 2.
V(15-14)12-3=0
Subtract 14 from 15.
V⋅112-3=0
V⋅112-3=0
Multiply V by 1.
V12-3=0
V12-3=0
V12-3=0
Find the LCD of the terms in the equation.
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To find the LCD of a set of numbers (V12,-3), find the LCM of the denominators.
LCM(12,1)
Calculate the LCM of first two denominators in the list, 12 and 1.
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Find the values of the numerical part of each term. Select the largest one, which in this case is 12. Multiply them together to get the current total. In this case, the current total is 12.
Current Total = 12
Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.
12
12
12
Multiply each term by 12 and simplify.
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Multiply each term in V12-3=0 by 12.
V12⋅12-3⋅12=0⋅12
Simplify each term.
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Cancel the common factor of 12.
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Cancel the common factor.
V12⋅12-3⋅12=0⋅12
Rewrite the expression.
V-3⋅12=0⋅12
V-3⋅12=0⋅12
Multiply -3 by 12.
V-36=0⋅12
V-36=0⋅12
Multiply 0 by 12.
V-36=0
V-36=0
Add 36 to both sides of the equation.
V=36
Solve for V (5V)/4-3=(7V)/6

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