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

34-5214-25
Multiply the numerator and denominator of the complex fraction by 20.
Multiply 34-5214-25 by 2020.
2020⋅34-5214-25
Combine.
20(34-52)20(14-25)
20(34-52)20(14-25)
Apply the distributive property.
20(34)+20(-52)20(14)+20(-25)
Simplify by cancelling.
Cancel the common factor of 4.
Factor 4 out of 20.
4(5)34+20(-52)20(14)+20(-25)
Cancel the common factor.
4⋅534+20(-52)20(14)+20(-25)
Rewrite the expression.
5⋅3+20(-52)20(14)+20(-25)
5⋅3+20(-52)20(14)+20(-25)
Multiply 5 by 3.
15+20(-52)20(14)+20(-25)
Cancel the common factor of 2.
Move the leading negative in -52 into the numerator.
15+20(-52)20(14)+20(-25)
Factor 2 out of 20.
15+2(10)-5220(14)+20(-25)
Cancel the common factor.
15+2⋅10-5220(14)+20(-25)
Rewrite the expression.
15+10⋅-520(14)+20(-25)
15+10⋅-520(14)+20(-25)
Multiply 10 by -5.
15-5020(14)+20(-25)
Cancel the common factor of 4.
Factor 4 out of 20.
15-504(5)14+20(-25)
Cancel the common factor.
15-504⋅514+20(-25)
Rewrite the expression.
15-505+20(-25)
15-505+20(-25)
Cancel the common factor of 5.
Move the leading negative in -25 into the numerator.
15-505+20(-25)
Factor 5 out of 20.
15-505+5(4)-25
Cancel the common factor.
15-505+5⋅4-25
Rewrite the expression.
15-505+4⋅-2
15-505+4⋅-2
Multiply 4 by -2.
15-505-8
15-505-8
Reduce the expression by cancelling the common factors.
Subtract 50 from 15.
-355-8
Subtract 8 from 5.
-35-3
Dividing two negative values results in a positive value.
353
353
The result can be shown in multiple forms.
Exact Form:
353
Decimal Form:
11.6‾
Mixed Number Form:
1123
Evaluate (3/4-5/2)/(1/4-2/5)

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