Question

5/6 / 1/3 equals what ​

Answer 1

`(5)/(2)`

Explanation:

Division of Fractions

Dividing fractions can be done in several forms. We'll use here the reciprocal of the denominator method.

Given the fractions:

`(a)/(b)`

`(c)/(d)`

The division:

`\displaystyle ( (a)/(b))/( (c)/(d))`

can be done by multiplying by the reciprocal of the denominator:

`\displaystyle ( (a)/(b))/( (c)/(d))=(a)/(b)\cdot(d)/(c)`

We are given the fractions 5/6 and 1/3. Their division is:

`\displaystyle ( (5)/(6))/( (1)/(3))=(5)/(6)\cdot(3)/(1)`

Simplifying:

`(5)/(6)\cdot(3)/(1)=(5)/(2)`

Answer:
`\mathbf{(5)/(2)}`