Question

Write the decimal expansion of the following rational number and state which type of decimal expansion has?

`2 1/5`

Answer 1

Given the rational number `2 1/5`.

Step-wise calculation:

1. Convert the mixed number to an improper fraction:

`2 1/5`

= `(2 xx 5 + 1)/5`

= `11/5`

2. Perform division to find the decimal expansion of `11/5`: 

11 ÷ 5 = 2.2

Since 5 divides evenly into 10 which is a power of 10, the decimal expansion terminates after one digit.

`2 1/5 = 2.2`

The decimal expansion is terminating.