Evaluate 14/20-40/45

Math
1420-4045
Simplify each term.
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Cancel the common factor of 14 and 20.
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Factor 2 out of 14.
2(7)20-4045
Cancel the common factors.
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Factor 2 out of 20.
2⋅72⋅10-4045
Cancel the common factor.
2⋅72⋅10-4045
Rewrite the expression.
710-4045
710-4045
710-4045
Cancel the common factor of 40 and 45.
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Factor 5 out of 40.
710-5(8)45
Cancel the common factors.
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Factor 5 out of 45.
710-5⋅85⋅9
Cancel the common factor.
710-5⋅85⋅9
Rewrite the expression.
710-89
710-89
710-89
710-89
To write 710 as a fraction with a common denominator, multiply by 99.
710⋅99-89
To write -89 as a fraction with a common denominator, multiply by 1010.
710⋅99-89⋅1010
Write each expression with a common denominator of 90, by multiplying each by an appropriate factor of 1.
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Multiply 710 and 99.
7⋅910⋅9-89⋅1010
Multiply 10 by 9.
7⋅990-89⋅1010
Multiply 89 and 1010.
7⋅990-8⋅109⋅10
Multiply 9 by 10.
7⋅990-8⋅1090
7⋅990-8⋅1090
Combine the numerators over the common denominator.
7⋅9-8⋅1090
Simplify the numerator.
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Multiply 7 by 9.
63-8⋅1090
Multiply -8 by 10.
63-8090
Subtract 80 from 63.
-1790
-1790
Move the negative in front of the fraction.
-1790
The result can be shown in multiple forms.
Exact Form:
-1790
Decimal Form:
-0.18‾
Evaluate 14/20-40/45

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