Evaluate (–75/100-3)-(5-43/10)

Math
(–75100-3)-(5-4310)
Simplify each term.
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Cancel the common factor of -75 and 100.
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Factor 25 out of -75.
-25(-3)100-3-(5-4310)
Cancel the common factors.
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Factor 25 out of 100.
-25⋅-325⋅4-3-(5-4310)
Cancel the common factor.
-25⋅-325⋅4-3-(5-4310)
Rewrite the expression.
–34-3-(5-4310)
–34-3-(5-4310)
–34-3-(5-4310)
Move the negative in front of the fraction.
–34-3-(5-4310)
Multiply –34.
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Multiply -1 by -1.
1(34)-3-(5-4310)
Multiply 34 by 1.
34-3-(5-4310)
34-3-(5-4310)
To write 5 as a fraction with a common denominator, multiply by 1010.
34-3-(5⋅1010-4310)
Combine 5 and 1010.
34-3-(5⋅1010-4310)
Combine the numerators over the common denominator.
34-3-5⋅10-4310
Simplify the numerator.
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Multiply 5 by 10.
34-3-50-4310
Subtract 43 from 50.
34-3-710
34-3-710
34-3-710
To write -3 as a fraction with a common denominator, multiply by 44.
34-3⋅44-710
Combine -3 and 44.
34+-3⋅44-710
Combine the numerators over the common denominator.
3-3⋅44-710
Simplify the numerator.
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Multiply -3 by 4.
3-124-710
Subtract 12 from 3.
-94-710
-94-710
Move the negative in front of the fraction.
-94-710
To write -94 as a fraction with a common denominator, multiply by 55.
-94⋅55-710
To write -710 as a fraction with a common denominator, multiply by 22.
-94⋅55-710⋅22
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 94 and 55.
-9⋅54⋅5-710⋅22
Multiply 4 by 5.
-9⋅520-710⋅22
Multiply 710 and 22.
-9⋅520-7⋅210⋅2
Multiply 10 by 2.
-9⋅520-7⋅220
-9⋅520-7⋅220
Combine the numerators over the common denominator.
-9⋅5-7⋅220
Simplify the numerator.
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Multiply -9 by 5.
-45-7⋅220
Multiply -7 by 2.
-45-1420
Subtract 14 from -45.
-5920
-5920
Move the negative in front of the fraction.
-5920
The result can be shown in multiple forms.
Exact Form:
-5920
Decimal Form:
-2.95
Mixed Number Form:
-21920
Evaluate (–75/100-3)-(5-43/10)

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