Simplify (-8 4/9)÷2 1/9

Math
-849÷219
Convert 849 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-(8+49)219
Add 8 and 49.
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To write 8 as a fraction with a common denominator, multiply by 99.
-(8⋅99+49)219
Combine 8 and 99.
-(8⋅99+49)219
Combine the numerators over the common denominator.
-8⋅9+49219
Simplify the numerator.
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Multiply 8 by 9.
-72+49219
Add 72 and 4.
-769219
-769219
-769219
-769219
Convert 219 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
-7692+19
Add 2 and 19.
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To write 2 as a fraction with a common denominator, multiply by 99.
-7692⋅99+19
Combine 2 and 99.
-7692⋅99+19
Combine the numerators over the common denominator.
-7692⋅9+19
Simplify the numerator.
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Multiply 2 by 9.
-76918+19
Add 18 and 1.
-769199
-769199
-769199
-769199
Multiply the numerator by the reciprocal of the denominator.
-769⋅919
Cancel the common factor of 19.
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Move the leading negative in -769 into the numerator.
-769⋅919
Factor 19 out of -76.
19(-4)9⋅919
Cancel the common factor.
19⋅-49⋅919
Rewrite the expression.
-49⋅9
-49⋅9
Cancel the common factor of 9.
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Cancel the common factor.
-49⋅9
Rewrite the expression.
-4
-4
Simplify (-8 4/9)÷2 1/9

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