# Evaluate 2/3-(1/5)÷(7/2)-5/6

23-15÷72-56
Simplify each term.
To divide by a fraction, multiply by its reciprocal.
23-(15⋅27)-56
Multiply 15⋅27.
Multiply 15 and 27.
23-25⋅7-56
Multiply 5 by 7.
23-235-56
23-235-56
23-235-56
To write 23 as a fraction with a common denominator, multiply by 3535.
23⋅3535-235-56
To write -235 as a fraction with a common denominator, multiply by 33.
23⋅3535-235⋅33-56
Write each expression with a common denominator of 105, by multiplying each by an appropriate factor of 1.
Multiply 23 and 3535.
2⋅353⋅35-235⋅33-56
Multiply 3 by 35.
2⋅35105-235⋅33-56
Multiply 235 and 33.
2⋅35105-2⋅335⋅3-56
Multiply 35 by 3.
2⋅35105-2⋅3105-56
2⋅35105-2⋅3105-56
Combine the numerators over the common denominator.
2⋅35-2⋅3105-56
Simplify the numerator.
Multiply 2 by 35.
70-2⋅3105-56
Multiply -2 by 3.
70-6105-56
Subtract 6 from 70.
64105-56
64105-56
To write 64105 as a fraction with a common denominator, multiply by 22.
64105⋅22-56
To write -56 as a fraction with a common denominator, multiply by 3535.
64105⋅22-56⋅3535
Write each expression with a common denominator of 210, by multiplying each by an appropriate factor of 1.
Multiply 64105 and 22.
64⋅2105⋅2-56⋅3535
Multiply 105 by 2.
64⋅2210-56⋅3535
Multiply 56 and 3535.
64⋅2210-5⋅356⋅35
Multiply 6 by 35.
64⋅2210-5⋅35210
64⋅2210-5⋅35210
Combine the numerators over the common denominator.
64⋅2-5⋅35210
Simplify the numerator.
Multiply 64 by 2.
128-5⋅35210
Multiply -5 by 35.
128-175210
Subtract 175 from 128.
-47210
-47210
Move the negative in front of the fraction.
-47210
The result can be shown in multiple forms.
Exact Form:
-47210
Decimal Form:
-0.2238095‾
Evaluate 2/3-(1/5)÷(7/2)-5/6

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