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Which division expression is equivalent to 4 1/3 ÷ -5/6

User Sefiroths
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2 Answers

3 votes

Answer:

the answer is 13/3 ÷ ( - 5/6 ) my luv :)

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Explanation:

User Inferis
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6 votes


4(1)/(3)/\left(-(5)/(6)\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4(1)/(3)=(4\cdot3+1)/(3)=(12+1)/(3)=(13)/(3)\\\\(*)=(13)/(3)/\left(-(5)/(6)\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=(13)/(3)\cdot\left(-(6)/(5)\right)\qquad\text{simplify}\\\\=(13)/(3\!\!\!\!\diagup_1)\cdot\left(-(6\!\!\!\!\diagup^2)/(5)\right)=-(13\cdot2)/(1\cdot5)=-(26)/(5)=-(25+1)/(5)=-5(1)/(5)

User Oleh H
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