Question

Perform the operation and write the answer in simplest form. 2 1/5 ÷ 31/5

Answer 1

`(11)/(31)`

Step-by-step explanation :

To simplify

First,

change the mixed fraction to improper fraction

Secondly, reciprocate the fraction at the left side of the the division symbol

Moreover, change the division sign to multiplication sign

Then, multiply numerator by numerator and denominator by denominator

2
`(1)/(5) / (31)/(5)`

`= (11)/(5) \ * (5)/(31)`

`= (11 * 5)/( 31 * 5)`

`= (11)/(31)`

Answer 2

`(11)/(31)`

Explanation:

We are given the following expression and we are to perform operation and write the answer in simplest form:

`\frac { 2 \frac { 1 } { 5 } } { \frac { 31 } { 5 } }`

Changing the mixed fraction into improper fraction:

`2(1)/(5)` --->
`(11)/(5)`

Now simplifying it:

`\frac { \frac { 1 1 } { 5 } } { \frac { 31 } { 5 } }`

Changing the division sign to multiplication by taking the reciprocal of the denominator:

`(11)/(5) * (5)/(31)`

`(11)/(31)`