Question

Convert the following to rational numbers: (a) 0.12345, (b) 5.4321.

Answer 1

A)
`(2469)/(20000)`

B)
`(54321)/(100000)`

Explanation:

To answer this question first we define what are rational numbers.

A rational number is a number that can be expressed in the form of a fraction
`(x)/(y)`, where x and y are integers and y ≠ 0.

a) 0.12345

This can be written in fraction form as

`(12345)/(100000)`

Now, we simplify this fraction to lowest form. Simplified form of the above fraction is
`(2469)/(20000)`. This simplified form was obtained by dividing both numerator an denominator by 5.

b) This number can be written in fraction form as
`(54321)/(100000)`

Now, we simplify this fraction.

The simplified form of the above fraction is
`(54321)/(100000)` as the numerator and denominator have no common factor.