Evaluate (1/2-4/5)/(3/4+2/3)

Math
12-4534+23
Multiply the numerator and denominator of the complex fraction by 60.
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Multiply 12-4534+23 by 6060.
6060⋅12-4534+23
Combine.
60(12-45)60(34+23)
60(12-45)60(34+23)
Apply the distributive property.
60(12)+60(-45)60(34)+60(23)
Simplify by cancelling.
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Cancel the common factor of 2.
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Factor 2 out of 60.
2(30)12+60(-45)60(34)+60(23)
Cancel the common factor.
2⋅3012+60(-45)60(34)+60(23)
Rewrite the expression.
30+60(-45)60(34)+60(23)
30+60(-45)60(34)+60(23)
Cancel the common factor of 5.
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Move the leading negative in -45 into the numerator.
30+60(-45)60(34)+60(23)
Factor 5 out of 60.
30+5(12)-4560(34)+60(23)
Cancel the common factor.
30+5⋅12-4560(34)+60(23)
Rewrite the expression.
30+12⋅-460(34)+60(23)
30+12⋅-460(34)+60(23)
Multiply 12 by -4.
30-4860(34)+60(23)
Cancel the common factor of 4.
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Factor 4 out of 60.
30-484(15)34+60(23)
Cancel the common factor.
30-484⋅1534+60(23)
Rewrite the expression.
30-4815⋅3+60(23)
30-4815⋅3+60(23)
Multiply 15 by 3.
30-4845+60(23)
Cancel the common factor of 3.
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Factor 3 out of 60.
30-4845+3(20)23
Cancel the common factor.
30-4845+3⋅2023
Rewrite the expression.
30-4845+20⋅2
30-4845+20⋅2
Multiply 20 by 2.
30-4845+40
30-4845+40
Simplify the expression.
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Subtract 48 from 30.
-1845+40
Add 45 and 40.
-1885
Move the negative in front of the fraction.
-1885
-1885
The result can be shown in multiple forms.
Exact Form:
-1885
Decimal Form:
-0.21176470…
Evaluate (1/2-4/5)/(3/4+2/3)

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