Respuesta :

gmany

Step-by-step explanation:

[tex]0.\underbrace{8918}_{4\ digits}=\dfrac{8918}{1\underbrace{0000}_{4\ zeros}}\\\\0.8918=\dfrac{8918}{10,000}=\dfrac{8918:2}{10,000:2}=\dfrac{4459}{5,000}[/tex]

First, rewrite the decimal 0.8918 as a fraction with 1 in the denominator.

0.8918 = [tex]\frac{0.8918}{1}[/tex]

Next, you want to multiply by 10,000 to remove 4 decimal places.

[tex]\frac{0.8918}{1}[/tex] × [tex]\frac{10,000}{10,000}[/tex] = [tex]\frac{8918}{10,000}[/tex].

The fraction [tex]\frac{8918}{10,000}[/tex] is not in lowest terms so we need to divide the fraction by the greatest common factor which is 2.

8918 ÷ 2 = 4459

10,000 ÷ 2 = 5,000

Therefore, the fraction equivalent to 0.8918 would be 4.459/5,000

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