What is 0.008 as a fraction?
Understand the Problem
The question is asking how to convert the decimal 0.008 into its fractional form.
Answer
The fractional form of 0.008 is $\frac{1}{125}$.
Answer for screen readers
The fractional form of 0.008 is $\frac{1}{125}$.
Steps to Solve
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Recognizing the Decimal
First, identify what the decimal 0.008 represents. This decimal means 8 thousandths, which can be interpreted as $\frac{8}{1000}$. -
Setting Up the Fraction
Write the decimal as a fraction:
$$ \frac{8}{1000} $$ -
Simplifying the Fraction
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 8 and 1000 is 8.
Now divide both the numerator and denominator by their GCD:
$$ \frac{8 \div 8}{1000 \div 8} = \frac{1}{125} $$ -
Final Fraction Form
The simplified fraction form of 0.008 is now:
$$ \frac{1}{125} $$
The fractional form of 0.008 is $\frac{1}{125}$.
More Information
Converting decimals to fractions is a common task in mathematics that helps in understanding the values better. The process of simplifying fractions also helps in making calculations easier.
Tips
One common mistake is forgetting to simplify the fraction after converting from decimal. Always check if the fraction can be reduced to its lowest terms.
