# Evaluate (2-(3/4)÷(1/2+2))÷(3/2-1/2)*(3-1/2) (2-34÷(12+2))÷(32-12)⋅(3-12)
Simplify the denominator.
To write 2 as a fraction with a common denominator, multiply by 22.
2-3412+2⋅2232-12⋅(3-12)
Combine 2 and 22.
2-3412+2⋅2232-12⋅(3-12)
Combine the numerators over the common denominator.
2-341+2⋅2232-12⋅(3-12)
Simplify the numerator.
Multiply 2 by 2.
2-341+4232-12⋅(3-12)
Add 1 and 4.
2-345232-12⋅(3-12)
2-345232-12⋅(3-12)
2-345232-12⋅(3-12)
Simplify the numerator.
Multiply the numerator by the reciprocal of the denominator.
2-(34⋅25)32-12⋅(3-12)
Cancel the common factor of 2.
Factor 2 out of 4.
2-(32(2)⋅25)32-12⋅(3-12)
Cancel the common factor.
2-(32⋅2⋅25)32-12⋅(3-12)
Rewrite the expression.
2-(32⋅15)32-12⋅(3-12)
2-(32⋅15)32-12⋅(3-12)
Multiply 32 and 15.
2-32⋅532-12⋅(3-12)
Multiply 2 by 5.
2-31032-12⋅(3-12)
To write 2 as a fraction with a common denominator, multiply by 1010.
2⋅1010-31032-12⋅(3-12)
Combine 2 and 1010.
2⋅1010-31032-12⋅(3-12)
Combine the numerators over the common denominator.
2⋅10-31032-12⋅(3-12)
Simplify the numerator.
Multiply 2 by 10.
20-31032-12⋅(3-12)
Subtract 3 from 20.
171032-12⋅(3-12)
171032-12⋅(3-12)
171032-12⋅(3-12)
Simplify the denominator.
Combine the numerators over the common denominator.
17103-12⋅(3-12)
Subtract 1 from 3.
171022⋅(3-12)
Divide 2 by 2.
17101⋅(3-12)
17101⋅(3-12)
Divide 1710 by 1.
1710⋅(3-12)
To write 3 as a fraction with a common denominator, multiply by 22.
1710⋅(3⋅22-12)
Combine 3 and 22.
1710⋅(3⋅22-12)
Combine the numerators over the common denominator.
1710⋅3⋅2-12
Simplify the numerator.
Multiply 3 by 2.
1710⋅6-12
Subtract 1 from 6.
1710⋅52
1710⋅52
Cancel the common factor of 5.
Factor 5 out of 10.
175(2)⋅52
Cancel the common factor.
175⋅2⋅52
Rewrite the expression.
172⋅12
172⋅12
Multiply 172 and 12.
172⋅2
Multiply 2 by 2.
174
The result can be shown in multiple forms.
Exact Form:
174
Decimal Form:
4.25
Mixed Number Form:
414
Evaluate (2-(3/4)÷(1/2+2))÷(3/2-1/2)*(3-1/2)

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