j⋅14-123=3712

Convert 123 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

j⋅14-(1+23)=3712

Add 1 and 23.

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

A mixed number is an addition of its whole and fractional parts.

j4-53=3+712

Add 3 and 712.

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.

Multiply 3 by 12.

j4-53=36+712

Add 36 and 7.

j4-53=4312

j4-53=4312

j4-53=4312

j4-53=4312

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.

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.

Multiply 5 by 4.

j4=43+2012

Add 43 and 20.

j4=6312

j4=6312

Cancel the common factor of 63 and 12.

Factor 3 out of 63.

j4=3(21)12

Cancel the common factors.

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