Simplify (15/16-1/8)÷(-9 3/4)

Math
(1516-18)÷(-934)
Convert 934 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1516-18-(9+34)
Add 9 and 34.
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To write 9 as a fraction with a common denominator, multiply by 44.
1516-18-(9⋅44+34)
Combine 9 and 44.
1516-18-(9⋅44+34)
Combine the numerators over the common denominator.
1516-18-9⋅4+34
Simplify the numerator.
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Multiply 9 by 4.
1516-18-36+34
Add 36 and 3.
1516-18-394
1516-18-394
1516-18-394
1516-18-394
Multiply the numerator by the reciprocal of the denominator.
(1516-18)(-439)
To write -18 as a fraction with a common denominator, multiply by 22.
(1516-18⋅22)(-439)
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
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Multiply 18 and 22.
(1516-28⋅2)(-439)
Multiply 8 by 2.
(1516-216)(-439)
(1516-216)(-439)
Combine the numerators over the common denominator.
15-216(-439)
Subtract 2 from 15.
1316(-439)
Cancel the common factor of 13.
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Move the leading negative in -439 into the numerator.
1316⋅-439
Factor 13 out of 39.
1316⋅-413(3)
Cancel the common factor.
1316⋅-413⋅3
Rewrite the expression.
116⋅-43
116⋅-43
Cancel the common factor of 4.
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Factor 4 out of 16.
14(4)⋅-43
Factor 4 out of -4.
14⋅4⋅4⋅-13
Cancel the common factor.
14⋅4⋅4⋅-13
Rewrite the expression.
14⋅-13
14⋅-13
Multiply 14 and -13.
-14⋅3
Simplify the expression.
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Multiply 4 by 3.
-112
Move the negative in front of the fraction.
-112
-112
The result can be shown in multiple forms.
Exact Form:
-112
Decimal Form:
-0.083‾
Simplify (15/16-1/8)÷(-9 3/4)

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