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44 votes
Find the quotient.2 1/3 ÷ 2 3/4Simplify your answer completely.

User Milap
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1 Answer

12 votes
12 votes

Given the expression:


\text{ 2 }(1)/(3)\text{ }/\text{ 2}(3)/(4)

In dividing mixed numbers, you must first transform the mixed numbers into improper fractions.

We get,


\text{ 2}(1)/(3)\text{ = }\frac{(2\text{ x 3) + 1}}{3}\text{ = }\frac{6\text{ + 1}}{3}\text{ = }(7)/(3)
2(3)/(4)=\frac{(2\text{ x 4) + 3}}{4}\text{ = }\frac{8\text{ + 3}}{4}\text{ = }(11)/(4)

Let's now proceed with the division.


\text{ 2 }(1)/(3)\text{ }/\text{ 2}(3)/(4)\text{ = }(7)/(3)\text{ }/\text{ }(11)/(4)\text{ = }(7)/(3)\text{ x }(4)/(11)\text{ = }\frac{7\text{ x 4}}{3\text{ x 11}}
\text{ = }(28)/(33)

Therefore, the quotient is 28/

User Alexey Ferapontov
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