# Evaluate 2/30-5/9+1/6 230-59+16
Cancel the common factor of 2 and 30.
Factor 2 out of 2.
2(1)30-59+16
Cancel the common factors.
Factor 2 out of 30.
2⋅12⋅15-59+16
Cancel the common factor.
2⋅12⋅15-59+16
Rewrite the expression.
115-59+16
115-59+16
115-59+16
To write 115 as a fraction with a common denominator, multiply by 33.
115⋅33-59+16
To write -59 as a fraction with a common denominator, multiply by 55.
115⋅33-59⋅55+16
Write each expression with a common denominator of 45, by multiplying each by an appropriate factor of 1.
Multiply 115 and 33.
315⋅3-59⋅55+16
Multiply 15 by 3.
345-59⋅55+16
Multiply 59 and 55.
345-5⋅59⋅5+16
Multiply 9 by 5.
345-5⋅545+16
345-5⋅545+16
Combine the numerators over the common denominator.
3-5⋅545+16
Simplify the numerator.
Multiply -5 by 5.
3-2545+16
Subtract 25 from 3.
-2245+16
-2245+16
Move the negative in front of the fraction.
-2245+16
To write -2245 as a fraction with a common denominator, multiply by 22.
-2245⋅22+16
To write 16 as a fraction with a common denominator, multiply by 1515.
-2245⋅22+16⋅1515
Write each expression with a common denominator of 90, by multiplying each by an appropriate factor of 1.
Multiply 2245 and 22.
-22⋅245⋅2+16⋅1515
Multiply 45 by 2.
-22⋅290+16⋅1515
Multiply 16 and 1515.
-22⋅290+156⋅15
Multiply 6 by 15.
-22⋅290+1590
-22⋅290+1590
Combine the numerators over the common denominator.
-22⋅2+1590
Simplify the numerator.
Multiply -22 by 2.
-44+1590
Add -44 and 15.
-2990
-2990
Move the negative in front of the fraction.
-2990
The result can be shown in multiple forms.
Exact Form:
-2990
Decimal Form:
-0.32‾
Evaluate 2/30-5/9+1/6

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