Respuesta :

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]

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