# Evaluate (-19/3-3/2-19/4+17/6)*(-4/13)+(3/2)÷(-1/8) (-193-32-194+176)⋅(-413)+32÷(-18)
Simplify each term.
To write -193 as a fraction with a common denominator, multiply by 22.
(-193⋅22-32-194+176)⋅(-413)+32÷(-18)
To write -32 as a fraction with a common denominator, multiply by 33.
(-193⋅22-32⋅33-194+176)⋅(-413)+32÷(-18)
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 193 and 22.
(-19⋅23⋅2-32⋅33-194+176)⋅(-413)+32÷(-18)
Multiply 3 by 2.
(-19⋅26-32⋅33-194+176)⋅(-413)+32÷(-18)
Multiply 32 and 33.
(-19⋅26-3⋅32⋅3-194+176)⋅(-413)+32÷(-18)
Multiply 2 by 3.
(-19⋅26-3⋅36-194+176)⋅(-413)+32÷(-18)
(-19⋅26-3⋅36-194+176)⋅(-413)+32÷(-18)
Combine the numerators over the common denominator.
(-19⋅2-3⋅36-194+176)⋅(-413)+32÷(-18)
Simplify the numerator.
Multiply -19 by 2.
(-38-3⋅36-194+176)⋅(-413)+32÷(-18)
Multiply -3 by 3.
(-38-96-194+176)⋅(-413)+32÷(-18)
Subtract 9 from -38.
(-476-194+176)⋅(-413)+32÷(-18)
(-476-194+176)⋅(-413)+32÷(-18)
Combine fractions with similar denominators.
(-47+176+-194)⋅(-413)+32÷(-18)
(-306+-194)⋅(-413)+32÷(-18)
Divide -30 by 6.
(-5+-194)⋅(-413)+32÷(-18)
Move the negative in front of the fraction.
(-5-194)⋅(-413)+32÷(-18)
To write -5 as a fraction with a common denominator, multiply by 44.
(-5⋅44-194)⋅(-413)+32÷(-18)
Combine -5 and 44.
(-5⋅44-194)⋅(-413)+32÷(-18)
Combine the numerators over the common denominator.
-5⋅4-194⋅(-413)+32÷(-18)
Simplify the numerator.
Multiply -5 by 4.
-20-194⋅(-413)+32÷(-18)
Subtract 19 from -20.
-394⋅(-413)+32÷(-18)
-394⋅(-413)+32÷(-18)
Cancel the common factor of 13.
Move the leading negative in -413 into the numerator.
-394⋅-413+32÷(-18)
Factor 13 out of -39.
13(-3)4⋅-413+32÷(-18)
Cancel the common factor.
13⋅-34⋅-413+32÷(-18)
Rewrite the expression.
-34⋅-4+32÷(-18)
-34⋅-4+32÷(-18)
Cancel the common factor of 4.
Factor 4 out of -4.
-34⋅(4(-1))+32÷(-18)
Cancel the common factor.
-34⋅(4⋅-1)+32÷(-18)
Rewrite the expression.
-3⋅-1+32÷(-18)
-3⋅-1+32÷(-18)
Multiply -3 by -1.
3+32÷(-18)
To divide by a fraction, multiply by its reciprocal.
3+32(-8)
Cancel the common factor of 2.
Factor 2 out of -8.
3+32(2(-4))
Cancel the common factor.
3+32(2⋅-4)
Rewrite the expression.
3+3⋅-4
3+3⋅-4
Multiply 3 by -4.
3-12
3-12
Subtract 12 from 3.
-9
Evaluate (-19/3-3/2-19/4+17/6)*(-4/13)+(3/2)÷(-1/8)

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