Evaluate (864/(9÷897-21))-(64-22÷5)

Math
(8649÷897-21)-(64-22÷5)
Simplify each term.
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Cancel the common factor of 9 and 897.
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Factor 3 out of 9.
8643(3)897-21-(64-22÷5)
Cancel the common factors.
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Factor 3 out of 897.
8643⋅33⋅299-21-(64-22÷5)
Cancel the common factor.
8643⋅33⋅299-21-(64-22÷5)
Rewrite the expression.
8643299-21-(64-22÷5)
8643299-21-(64-22÷5)
8643299-21-(64-22÷5)
Cancel the common factor of 864 and 3299-21.
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Factor 3 out of 864.
3⋅2883299-21-(64-22÷5)
Cancel the common factors.
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Factor 3 out of 3299.
3⋅2883(1299)-21-(64-22÷5)
Factor 3 out of -21.
3⋅2883(1299)+3⋅-7-(64-22÷5)
Factor 3 out of 3(1299)+3⋅-7.
3⋅2883(1299-7)-(64-22÷5)
Cancel the common factor.
3⋅2883(1299-7)-(64-22÷5)
Rewrite the expression.
2881299-7-(64-22÷5)
2881299-7-(64-22÷5)
2881299-7-(64-22÷5)
Simplify the denominator.
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To write -7 as a fraction with a common denominator, multiply by 299299.
2881299-7⋅299299-(64-22÷5)
Combine -7 and 299299.
2881299+-7⋅299299-(64-22÷5)
Combine the numerators over the common denominator.
2881-7⋅299299-(64-22÷5)
Simplify the numerator.
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Multiply -7 by 299.
2881-2093299-(64-22÷5)
Subtract 2093 from 1.
288-2092299-(64-22÷5)
288-2092299-(64-22÷5)
Move the negative in front of the fraction.
288-2092299-(64-22÷5)
288-2092299-(64-22÷5)
Multiply the numerator by the reciprocal of the denominator.
288(-2992092)-(64-22÷5)
Cancel the common factor of 4.
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Move the leading negative in -2992092 into the numerator.
288(-2992092)-(64-22÷5)
Factor 4 out of 288.
4(72)-2992092-(64-22÷5)
Factor 4 out of 2092.
4⋅72-2994⋅523-(64-22÷5)
Cancel the common factor.
4⋅72-2994⋅523-(64-22÷5)
Rewrite the expression.
72(-299523)-(64-22÷5)
72(-299523)-(64-22÷5)
Combine 72 and -299523.
72⋅-299523-(64-22÷5)
Multiply 72 by -299.
-21528523-(64-22÷5)
Move the negative in front of the fraction.
-21528523-(64-22÷5)
Rewrite the division as a fraction.
-21528523-(64-225)
To write 64 as a fraction with a common denominator, multiply by 55.
-21528523-(64⋅55-225)
Combine 64 and 55.
-21528523-(64⋅55-225)
Combine the numerators over the common denominator.
-21528523-64⋅5-225
Simplify the numerator.
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Multiply 64 by 5.
-21528523-320-225
Subtract 22 from 320.
-21528523-2985
-21528523-2985
-21528523-2985
To write -21528523 as a fraction with a common denominator, multiply by 55.
-21528523⋅55-2985
To write -2985 as a fraction with a common denominator, multiply by 523523.
-21528523⋅55-2985⋅523523
Write each expression with a common denominator of 2615, by multiplying each by an appropriate factor of 1.
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Multiply 21528523 and 55.
-21528⋅5523⋅5-2985⋅523523
Multiply 523 by 5.
-21528⋅52615-2985⋅523523
Multiply 2985 and 523523.
-21528⋅52615-298⋅5235⋅523
Multiply 5 by 523.
-21528⋅52615-298⋅5232615
-21528⋅52615-298⋅5232615
Combine the numerators over the common denominator.
-21528⋅5-298⋅5232615
Simplify the numerator.
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Multiply -21528 by 5.
-107640-298⋅5232615
Multiply -298 by 523.
-107640-1558542615
Subtract 155854 from -107640.
-2634942615
-2634942615
Move the negative in front of the fraction.
-2634942615
The result can be shown in multiple forms.
Exact Form:
-2634942615
Decimal Form:
-100.76252390…
Mixed Number Form:
-10019942615
Evaluate (864/(9÷897-21))-(64-22÷5)

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