# Evaluate -1/2-3/5+8/3+4/9

-12-35+83+49
To write -12 as a fraction with a common denominator, multiply by 55.
-12⋅55-35+83+49
To write -35 as a fraction with a common denominator, multiply by 22.
-12⋅55-35⋅22+83+49
Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.
Multiply 12 and 55.
-52⋅5-35⋅22+83+49
Multiply 2 by 5.
-510-35⋅22+83+49
Multiply 35 and 22.
-510-3⋅25⋅2+83+49
Multiply 5 by 2.
-510-3⋅210+83+49
-510-3⋅210+83+49
Combine the numerators over the common denominator.
-5-3⋅210+83+49
Simplify the numerator.
Multiply -3 by 2.
-5-610+83+49
Subtract 6 from -5.
-1110+83+49
-1110+83+49
Find the common denominator.
Multiply -1110 by 99.
-1110⋅99+83+49
Combine.
-11⋅910⋅9+83+49
Multiply 83 by 3030.
-11⋅910⋅9+83⋅3030+49
Combine.
-11⋅910⋅9+8⋅303⋅30+49
Multiply 49 by 1010.
-11⋅910⋅9+8⋅303⋅30+49⋅1010
Combine.
-11⋅910⋅9+8⋅303⋅30+4⋅109⋅10
Reorder the factors of 10⋅9.
-11⋅99⋅10+8⋅303⋅30+4⋅109⋅10
Multiply 9 by 10.
-11⋅990+8⋅303⋅30+4⋅109⋅10
Multiply 3 by 30.
-11⋅990+8⋅3090+4⋅109⋅10
Multiply 9 by 10.
-11⋅990+8⋅3090+4⋅1090
-11⋅990+8⋅3090+4⋅1090
Combine fractions.
Combine fractions with similar denominators.
-11⋅9+8⋅30+4⋅1090
Multiply.
Multiply -11 by 9.
-99+8⋅30+4⋅1090
Multiply 8 by 30.
-99+240+4⋅1090
Multiply 4 by 10.
-99+240+4090
-99+240+4090
-99+240+4090
Simplify the numerator.
141+4090
18190
18190
The result can be shown in multiple forms.
Exact Form:
18190
Decimal Form:
2.01‾
Mixed Number Form:
2190
Evaluate -1/2-3/5+8/3+4/9

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