Question

Which of the following can be written as a fraction of integers? CHECK ALL THAT APPLY.

2.5
square root of 14
-1.25
5.33333...
square root of 16
null
0.6

Answer 1

`2.5`
`-1.25`
`√(16)`
`0.6`

Explanation:

Required

Which of the given parameters can be represented as fraction of integers

Taking them one at a time;

1. 2.5

This can be rewritten as

`2.5 = (2.5)/(1)`

Multiply numerator and denominator by 2

`2.5 = (2.5 * 2)/(1 * 2)`

`2.5 = (5)/(2)`

Hence, 2.5 can be represented as fraction of integers

2. √14

This can be rewritten as

`√(14) = 3.74165738677...`

The ... implies that the decimal continues and this cannot be represented as a fraction

3. -1.25

This can be rewritten as

`-1.25 = (-1.25)/(1)`

Multiply numerator and denominator by 4

`-1.25 = (-1.25 * 4)/(1 * 4)`

`-1.25 = (-5)/(4)`

Hence, -1.25 can be represented as fraction of integers

4. 5.33333.....

The ... implies that the decimal continues and this cannot be represented as a fraction

5. √16

`√(16) = \±4`

This can be rewritten as

`√(16) = \±(4)/(1)`

Multiply numerator and denominator by 2

`√(16) = \±(4 * 2)/(1 * 2)`

`√(16) = \±(8)/(2)`

Hence, √16 can be represented as fraction of integers

6. 0.6

This can be rewritten as

`0.6 = (0.6)/(1)`

Multiply numerator and denominator by 10

`0.6 = (0.6 * 10)/(1 * 10)`

`0.6 = (6)/(10)`

Hence, 0.6 can be represented as fraction of integers