Evaluate -1/12-(-3/5+3/4)

-112-(-35+34)
Simplify each term.
To write -35 as a fraction with a common denominator, multiply by 44.
-112-(-35⋅44+34)
To write 34 as a fraction with a common denominator, multiply by 55.
-112-(-35⋅44+34⋅55)
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
Multiply 35 and 44.
-112-(-3⋅45⋅4+34⋅55)
Multiply 5 by 4.
-112-(-3⋅420+34⋅55)
Multiply 34 and 55.
-112-(-3⋅420+3⋅54⋅5)
Multiply 4 by 5.
-112-(-3⋅420+3⋅520)
-112-(-3⋅420+3⋅520)
Combine the numerators over the common denominator.
-112–3⋅4+3⋅520
Simplify the numerator.
Multiply -3 by 4.
-112–12+3⋅520
Multiply 3 by 5.
-112–12+1520
Add -12 and 15.
-112-320
-112-320
-112-320
To write -112 as a fraction with a common denominator, multiply by 55.
-112⋅55-320
To write -320 as a fraction with a common denominator, multiply by 33.
-112⋅55-320⋅33
Write each expression with a common denominator of 60, by multiplying each by an appropriate factor of 1.
Multiply 112 and 55.
-512⋅5-320⋅33
Multiply 12 by 5.
-560-320⋅33
Multiply 320 and 33.
-560-3⋅320⋅3
Multiply 20 by 3.
-560-3⋅360
-560-3⋅360
Combine the numerators over the common denominator.
-5-3⋅360
Simplify the numerator.
Multiply -3 by 3.
-5-960
Subtract 9 from -5.
-1460
-1460
Cancel the common factor of -14 and 60.
Factor 2 out of -14.
2(-7)60
Cancel the common factors.
Factor 2 out of 60.
2⋅-72⋅30
Cancel the common factor.
2⋅-72⋅30
Rewrite the expression.
-730
-730
-730
Move the negative in front of the fraction.
-730
The result can be shown in multiple forms.
Exact Form:
-730
Decimal Form:
-0.23‾
Evaluate -1/12-(-3/5+3/4)

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