Question

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

Answer 1

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/