Answer:
[tex]\frac{a}{b} = \frac{3}{10}[/tex]
Step-by-step explanation:
Given
[tex]Number = 0.3[/tex]
Required
Represent as [tex]\frac{a}{b}[/tex]
Let [tex]\frac{a}{b} = 0.3[/tex]
This can be further written as
[tex]\frac{a}{b} = \frac{0.3}{1}[/tex]
Multiply the numerator and denominator by 10
[tex]\frac{a}{b} = \frac{0.3 * 10}{1 * 10}[/tex]
[tex]\frac{a}{b} = \frac{3}{10}[/tex]
Since 3 and 10 are both integers, then
[tex]\frac{a}{b} = \frac{3}{10}[/tex]
