# Evaluate 2/7-1/2*4/14-(1/2-3/4) 27-12⋅414-(12-34)
Simplify each term.
Cancel the common factor of 2.
Move the leading negative in -12 into the numerator.
27+-12⋅414-(12-34)
Factor 2 out of 4.
27+-12⋅2(2)14-(12-34)
Cancel the common factor.
27+-12⋅2⋅214-(12-34)
Rewrite the expression.
27-1⋅214-(12-34)
27-1⋅214-(12-34)
Cancel the common factor of 2 and 14.
Factor 2 out of 2.
27-1⋅2(1)14-(12-34)
Cancel the common factors.
Factor 2 out of 14.
27-1⋅2⋅12⋅7-(12-34)
Cancel the common factor.
27-1⋅2⋅12⋅7-(12-34)
Rewrite the expression.
27-1⋅17-(12-34)
27-1⋅17-(12-34)
27-1⋅17-(12-34)
Rewrite -1(17) as -(17).
27-(17)-(12-34)
To write 12 as a fraction with a common denominator, multiply by 22.
27-17-(12⋅22-34)
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 12 and 22.
27-17-(22⋅2-34)
Multiply 2 by 2.
27-17-(24-34)
27-17-(24-34)
Combine the numerators over the common denominator.
27-17-2-34
Subtract 3 from 2.
27-17–14
Move the negative in front of the fraction.
27-17–14
Multiply –14.
Multiply -1 by -1.
27-17+1(14)
Multiply 14 by 1.
27-17+14
27-17+14
27-17+14
Combine fractions.
Combine fractions with similar denominators.
2-17+14
Subtract 1 from 2.
17+14
17+14
To write 17 as a fraction with a common denominator, multiply by 44.
17⋅44+14
To write 14 as a fraction with a common denominator, multiply by 77.
17⋅44+14⋅77
Write each expression with a common denominator of 28, by multiplying each by an appropriate factor of 1.
Multiply 17 and 44.
47⋅4+14⋅77
Multiply 7 by 4.
428+14⋅77
Multiply 14 and 77.
428+74⋅7
Multiply 4 by 7.
428+728
428+728
Combine the numerators over the common denominator.
4+728