Question

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

Answer 1

Answer:

A) $\frac{2469}{20000}$

B)  $\frac{54321}{100000}$

Step-by-step 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 $\frac{x}{y}$, where x and y are integers and y ≠ 0.

a) 0.12345

This can be written in fraction form as

$\frac{12345}{100000}$

Now, we simplify this fraction to lowest form. Simplified form of the above fraction is $\frac{2469}{20000}$. This simplified form was obtained by dividing both numerator an denominator by 5.

b) This number can be written in fraction form as $\frac{54321}{100000}$

Now, we simplify this fraction.

The simplified form of the above fraction is $\frac{54321}{100000}$ as the numerator and denominator have no common factor.