# Evaluate -14/3+17/4-85/12+97/4 -143+174-8512+974
Combine fractions with similar denominators.
-143+17+974+-8512
Simplify the expression.
Move the negative in front of the fraction.
-143+17+974+-8512
Add 17 and 97.
-143+1144+-8512
-143+1144+-8512
Cancel the common factor of 114 and 4.
Factor 2 out of 114.
-143+2(57)4+-8512
Cancel the common factors.
Factor 2 out of 4.
-143+2⋅572⋅2+-8512
Cancel the common factor.
-143+2⋅572⋅2+-8512
Rewrite the expression.
-143+572+-8512
-143+572+-8512
-143+572+-8512
Move the negative in front of the fraction.
-143+572-8512
To write -143 as a fraction with a common denominator, multiply by 22.
-143⋅22+572-8512
To write 572 as a fraction with a common denominator, multiply by 33.
-143⋅22+572⋅33-8512
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 143 and 22.
-14⋅23⋅2+572⋅33-8512
Multiply 3 by 2.
-14⋅26+572⋅33-8512
Multiply 572 and 33.
-14⋅26+57⋅32⋅3-8512
Multiply 2 by 3.
-14⋅26+57⋅36-8512
-14⋅26+57⋅36-8512
Combine the numerators over the common denominator.
-14⋅2+57⋅36-8512
Simplify the numerator.
Multiply -14 by 2.
-28+57⋅36-8512
Multiply 57 by 3.
-28+1716-8512
Add -28 and 171.
1436-8512
1436-8512
To write 1436 as a fraction with a common denominator, multiply by 22.
1436⋅22-8512
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 1436 and 22.
143⋅26⋅2-8512
Multiply 6 by 2.
143⋅212-8512
143⋅212-8512
Combine the numerators over the common denominator.
143⋅2-8512
Simplify the numerator.
Multiply 143 by 2.
286-8512
Subtract 85 from 286.
20112
20112
Cancel the common factor of 201 and 12.
Factor 3 out of 201.
3(67)12
Cancel the common factors.
Factor 3 out of 12.
3⋅673⋅4
Cancel the common factor.
3⋅673⋅4
Rewrite the expression.
674
674
674
The result can be shown in multiple forms.
Exact Form:
674
Decimal Form:
16.75
Mixed Number Form:
1634
Evaluate -14/3+17/4-85/12+97/4

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