Evaluate (19/8-9/2)÷(9/8-9/4)

(198-92)÷(98-94)
Rewrite the division as a fraction.
198-9298-94
Multiply the numerator and denominator of the complex fraction by 8.
Multiply 198-9298-94 by 88.
88⋅198-9298-94
Combine.
8(198-92)8(98-94)
8(198-92)8(98-94)
Apply the distributive property.
8(198)+8(-92)8(98)+8(-94)
Simplify by cancelling.
Cancel the common factor of 8.
Cancel the common factor.
8(198)+8(-92)8(98)+8(-94)
Rewrite the expression.
19+8(-92)8(98)+8(-94)
19+8(-92)8(98)+8(-94)
Cancel the common factor of 2.
Move the leading negative in -92 into the numerator.
19+8(-92)8(98)+8(-94)
Factor 2 out of 8.
19+2(4)-928(98)+8(-94)
Cancel the common factor.
19+2⋅4-928(98)+8(-94)
Rewrite the expression.
19+4⋅-98(98)+8(-94)
19+4⋅-98(98)+8(-94)
Multiply 4 by -9.
19-368(98)+8(-94)
Cancel the common factor of 8.
Cancel the common factor.
19-368(98)+8(-94)
Rewrite the expression.
19-369+8(-94)
19-369+8(-94)
Cancel the common factor of 4.
Move the leading negative in -94 into the numerator.
19-369+8(-94)
Factor 4 out of 8.
19-369+4(2)-94
Cancel the common factor.
19-369+4⋅2-94
Rewrite the expression.
19-369+2⋅-9
19-369+2⋅-9
Multiply 2 by -9.
19-369-18
19-369-18
Reduce the expression by cancelling the common factors.
Subtract 36 from 19.
-179-18
Subtract 18 from 9.
-17-9
Dividing two negative values results in a positive value.
179
179
The result can be shown in multiple forms.
Exact Form:
179
Decimal Form:
1.8‾
Mixed Number Form:
189
Evaluate (19/8-9/2)÷(9/8-9/4)

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