Question

5 5/6 divided by 2 1/3

Answer 1

2.5

Explanation:

`5(5)/(6)` ÷
`2(1)/(3)`

First, convert both fractions into the form of an improper fraction. This can be done by multiply the "number" outside of the fraction by the denominator of the fraction, that is the number underneath the fraction bar. Then, add the result to the numerator, the number over the fraction bar.

`(35)/(6)` ÷
`(7)/(3)`

Now, one must reciprocate the second fraction, in other words, switch the places of the denominator and the numerator on the second fraction, then change the division sign to a multiplication sign. Remember, dividing two fractions is the same as multiplying by their reciprocal.

`(35)/(6) * (3)/(7)`

Now multiply the two fractions, multiply the numerator by the numerator, and the denominator by the denominator, then simplify.

`(105)/(42)\\\\= 2.5`

Answer 2

2
`(1)/(2)` or 2.5

Explanation:

5 5/6 = 35/6

2 1/3 = 7/3 = 14/6

multiply by the reciprocal of 14/6

35/6 * 6/14 = 210/84 = 5/2