# Evaluate (7/4+2)/(1-8/5) 74+21-85
Multiply the numerator and denominator of the complex fraction by 20.
Multiply 74+21-85 by 2020.
2020⋅74+21-85
Combine.
20(74+2)20(1-85)
20(74+2)20(1-85)
Apply the distributive property.
20(74)+20⋅220⋅1+20(-85)
Simplify by cancelling.
Cancel the common factor of 4.
Factor 4 out of 20.
4(5)74+20⋅220⋅1+20(-85)
Cancel the common factor.
4⋅574+20⋅220⋅1+20(-85)
Rewrite the expression.
5⋅7+20⋅220⋅1+20(-85)
5⋅7+20⋅220⋅1+20(-85)
Multiply 5 by 7.
35+20⋅220⋅1+20(-85)
Cancel the common factor of 5.
Move the leading negative in -85 into the numerator.
35+20⋅220⋅1+20(-85)
Factor 5 out of 20.
35+20⋅220⋅1+5(4)-85
Cancel the common factor.
35+20⋅220⋅1+5⋅4-85
Rewrite the expression.
35+20⋅220⋅1+4⋅-8
35+20⋅220⋅1+4⋅-8
Multiply 4 by -8.
35+20⋅220⋅1-32
35+20⋅220⋅1-32
Simplify the numerator.
Multiply 20 by 2.
35+4020⋅1-32
Add 35 and 40.
7520⋅1-32
7520⋅1-32
Simplify the denominator.
Multiply 20 by 1.
7520-32
Subtract 32 from 20.
75-12
75-12
Reduce the expression by cancelling the common factors.
Cancel the common factor of 75 and -12.
Factor 3 out of 75.
3(25)-12
Cancel the common factors.
Factor 3 out of -12.
3⋅253⋅-4
Cancel the common factor.
3⋅253⋅-4
Rewrite the expression.
25-4
25-4
25-4
Move the negative in front of the fraction.
-254
-254
The result can be shown in multiple forms.
Exact Form:
-254
Decimal Form:
-6.25
Mixed Number Form:
-614
Evaluate (7/4+2)/(1-8/5)

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