# Evaluate (2/3-1/5)÷(1/3)-(2*1/10+2/5)*10

(23-15)÷13-(2⋅110+25)⋅10
To write 23 as a fraction with a common denominator, multiply by 55.
23⋅55-1513-(2⋅110+25)⋅10
To write -15 as a fraction with a common denominator, multiply by 33.
23⋅55-15⋅3313-(2⋅110+25)⋅10
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 23 and 55.
2⋅53⋅5-15⋅3313-(2⋅110+25)⋅10
Multiply 3 by 5.
2⋅515-15⋅3313-(2⋅110+25)⋅10
Multiply 15 and 33.
2⋅515-35⋅313-(2⋅110+25)⋅10
Multiply 5 by 3.
2⋅515-31513-(2⋅110+25)⋅10
2⋅515-31513-(2⋅110+25)⋅10
Combine the numerators over the common denominator.
2⋅5-31513-(2⋅110+25)⋅10
Simplify the numerator.
Multiply 2 by 5.
10-31513-(2⋅110+25)⋅10
Subtract 3 from 10.
71513-(2⋅110+25)⋅10
71513-(2⋅110+25)⋅10
Simplify each term.
Multiply the numerator by the reciprocal of the denominator.
715⋅3-(2⋅110+25)⋅10
Cancel the common factor of 3.
Factor 3 out of 15.
73(5)⋅3-(2⋅110+25)⋅10
Cancel the common factor.
73⋅5⋅3-(2⋅110+25)⋅10
Rewrite the expression.
75-(2⋅110+25)⋅10
75-(2⋅110+25)⋅10
Cancel the common factor of 2.
Factor 2 out of 10.
75-(2⋅12(5)+25)⋅10
Cancel the common factor.
75-(2⋅12⋅5+25)⋅10
Rewrite the expression.
75-(15+25)⋅10
75-(15+25)⋅10
Combine the numerators over the common denominator.
75-1+25⋅10
75-35⋅10
Cancel the common factor of 5.
Move the leading negative in -35 into the numerator.
75+-35⋅10
Factor 5 out of 10.
75+-35⋅(5(2))
Cancel the common factor.
75+-35⋅(5⋅2)
Rewrite the expression.
75-3⋅2
75-3⋅2
Multiply -3 by 2.
75-6
75-6
To write -6 as a fraction with a common denominator, multiply by 55.
75-6⋅55
Combine -6 and 55.
75+-6⋅55
Combine the numerators over the common denominator.
7-6⋅55
Simplify the numerator.
Multiply -6 by 5.
7-305
Subtract 30 from 7.
-235
-235
Move the negative in front of the fraction.
-235
The result can be shown in multiple forms.
Exact Form:
-235
Decimal Form:
-4.6
Mixed Number Form:
-435
Evaluate (2/3-1/5)÷(1/3)-(2*1/10+2/5)*10

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