Evaluate (-2/5-1/3)÷(3/10)

Math
(-25-13)÷310
To divide by a fraction, multiply by its reciprocal.
(-25-13)103
To write -25 as a fraction with a common denominator, multiply by 33.
(-25⋅33-13)103
To write -13 as a fraction with a common denominator, multiply by 55.
(-25⋅33-13⋅55)103
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
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Multiply 25 and 33.
(-2⋅35⋅3-13⋅55)103
Multiply 5 by 3.
(-2⋅315-13⋅55)103
Multiply 13 and 55.
(-2⋅315-53⋅5)103
Multiply 3 by 5.
(-2⋅315-515)103
(-2⋅315-515)103
Combine the numerators over the common denominator.
-2⋅3-515⋅103
Simplify the numerator.
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Multiply -2 by 3.
-6-515⋅103
Subtract 5 from -6.
-1115⋅103
-1115⋅103
Cancel the common factor of 5.
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Factor 5 out of 15.
-115(3)⋅103
Factor 5 out of 10.
-115⋅3⋅5⋅23
Cancel the common factor.
-115⋅3⋅5⋅23
Rewrite the expression.
-113⋅23
-113⋅23
Multiply -113 and 23.
-11⋅23⋅3
Simplify the expression.
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Multiply -11 by 2.
-223⋅3
Multiply 3 by 3.
-229
Move the negative in front of the fraction.
-229
-229
The result can be shown in multiple forms.
Exact Form:
-229
Decimal Form:
-2.4‾
Mixed Number Form:
-249
Evaluate (-2/5-1/3)÷(3/10)

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