# Evaluate (5/8-1/4)/(1/8+3/4)

58-1418+34
Multiply the numerator and denominator of the complex fraction by 8.
Multiply 58-1418+34 by 88.
88⋅58-1418+34
Combine.
8(58-14)8(18+34)
8(58-14)8(18+34)
Apply the distributive property.
8(58)+8(-14)8(18)+8(34)
Simplify by cancelling.
Cancel the common factor of 8.
Cancel the common factor.
8(58)+8(-14)8(18)+8(34)
Rewrite the expression.
5+8(-14)8(18)+8(34)
5+8(-14)8(18)+8(34)
Cancel the common factor of 4.
Move the leading negative in -14 into the numerator.
5+8(-14)8(18)+8(34)
Factor 4 out of 8.
5+4(2)-148(18)+8(34)
Cancel the common factor.
5+4⋅2-148(18)+8(34)
Rewrite the expression.
5+2⋅-18(18)+8(34)
5+2⋅-18(18)+8(34)
Multiply 2 by -1.
5-28(18)+8(34)
Cancel the common factor of 8.
Cancel the common factor.
5-28(18)+8(34)
Rewrite the expression.
5-21+8(34)
5-21+8(34)
Cancel the common factor of 4.
Factor 4 out of 8.
5-21+4(2)34
Cancel the common factor.
5-21+4⋅234
Rewrite the expression.
5-21+2⋅3
5-21+2⋅3
Multiply 2 by 3.
5-21+6
5-21+6
Subtract 2 from 5.
31+6
37
37
The result can be shown in multiple forms.
Exact Form:
37
Decimal Form:
0.428571‾
Evaluate (5/8-1/4)/(1/8+3/4)

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