Evaluate -10÷(-3 2/3-2 6/7)*5.6

Math
-10÷(-323-267)⋅5.6
Convert 323 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-10-(3+23)-267⋅5.6
Add 3 and 23.
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To write 3 as a fraction with a common denominator, multiply by 33.
-10-(3⋅33+23)-267⋅5.6
Combine 3 and 33.
-10-(3⋅33+23)-267⋅5.6
Combine the numerators over the common denominator.
-10-3⋅3+23-267⋅5.6
Simplify the numerator.
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Multiply 3 by 3.
-10-9+23-267⋅5.6
Add 9 and 2.
-10-113-267⋅5.6
-10-113-267⋅5.6
-10-113-267⋅5.6
-10-113-267⋅5.6
Convert 267 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-10-113-(2+67)⋅5.6
Add 2 and 67.
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To write 2 as a fraction with a common denominator, multiply by 77.
-10-113-(2⋅77+67)⋅5.6
Combine 2 and 77.
-10-113-(2⋅77+67)⋅5.6
Combine the numerators over the common denominator.
-10-113-2⋅7+67⋅5.6
Simplify the numerator.
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Multiply 2 by 7.
-10-113-14+67⋅5.6
Add 14 and 6.
-10-113-207⋅5.6
-10-113-207⋅5.6
-10-113-207⋅5.6
-10-113-207⋅5.6
Simplify the denominator.
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To write -113 as a fraction with a common denominator, multiply by 77.
-10-113⋅77-207⋅5.6
To write -207 as a fraction with a common denominator, multiply by 33.
-10-113⋅77-207⋅33⋅5.6
Write each expression with a common denominator of 21, by multiplying each by an appropriate factor of 1.
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Multiply 113 and 77.
-10-11⋅73⋅7-207⋅33⋅5.6
Multiply 3 by 7.
-10-11⋅721-207⋅33⋅5.6
Multiply 207 and 33.
-10-11⋅721-20⋅37⋅3⋅5.6
Multiply 7 by 3.
-10-11⋅721-20⋅321⋅5.6
-10-11⋅721-20⋅321⋅5.6
Combine the numerators over the common denominator.
-10-11⋅7-20⋅321⋅5.6
Simplify the numerator.
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Multiply -11 by 7.
-10-77-20⋅321⋅5.6
Multiply -20 by 3.
-10-77-6021⋅5.6
Subtract 60 from -77.
-10-13721⋅5.6
-10-13721⋅5.6
Move the negative in front of the fraction.
-10-13721⋅5.6
-10-13721⋅5.6
Multiply the numerator by the reciprocal of the denominator.
-10(-21137)⋅5.6
Multiply -10(-21137).
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Multiply -1 by -10.
10(21137)⋅5.6
Combine 10 and 21137.
10⋅21137⋅5.6
Multiply 10 by 21.
210137⋅5.6
210137⋅5.6
Multiply 210137⋅5.6.
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Combine 210137 and 5.6.
210⋅5.6137
Multiply 210 by 5.6.
1176137
1176137
Cancel the common factor of 1176 and 137.
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Rewrite 1176 as 1(1176).
1(1176)137
Cancel the common factors.
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Rewrite 137 as 1(137).
1⋅11761⋅137
Cancel the common factor.
1⋅11761⋅137
Rewrite the expression.
1176137
1176137
1176137
The result can be shown in multiple forms.
Exact Form:
1176137
Decimal Form:
8.58394160…
Mixed Number Form:
880137
Evaluate -10÷(-3 2/3-2 6/7)*5.6

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