Solve for j (j*1)/4-1 2/3=3 7/12

Math
j⋅14-123=3712
Simplify j⋅14-123.
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Convert 123 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
j⋅14-(1+23)=3712
Add 1 and 23.
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Write 1 as a fraction with a common denominator.
j⋅14-(33+23)=3712
Combine the numerators over the common denominator.
j⋅14-3+23=3712
Add 3 and 2.
j⋅14-53=3712
j⋅14-53=3712
j⋅14-53=3712
Multiply j by 1.
j4-53=3712
j4-53=3712
Convert 3712 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
j4-53=3+712
Add 3 and 712.
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To write 3 as a fraction with a common denominator, multiply by 1212.
j4-53=3⋅1212+712
Combine 3 and 1212.
j4-53=3⋅1212+712
Combine the numerators over the common denominator.
j4-53=3⋅12+712
Simplify the numerator.
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Multiply 3 by 12.
j4-53=36+712
Add 36 and 7.
j4-53=4312
j4-53=4312
j4-53=4312
j4-53=4312
Move all terms not containing j to the right side of the equation.
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Add 53 to both sides of the equation.
j4=4312+53
To write 53 as a fraction with a common denominator, multiply by 44.
j4=4312+53⋅44
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 53 and 44.
j4=4312+5⋅43⋅4
Multiply 3 by 4.
j4=4312+5⋅412
j4=4312+5⋅412
Combine the numerators over the common denominator.
j4=43+5⋅412
Simplify the numerator.
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Multiply 5 by 4.
j4=43+2012
Add 43 and 20.
j4=6312
j4=6312
Cancel the common factor of 63 and 12.
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Factor 3 out of 63.
j4=3(21)12
Cancel the common factors.
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Factor 3 out of 12.
j4=3⋅213⋅4
Cancel the common factor.
j4=3⋅213⋅4
Rewrite the expression.
j4=214
j4=214
j4=214
j4=214
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
j=21
Solve for j (j*1)/4-1 2/3=3 7/12

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