Converting 0.008 into a Fraction
Converting a decimal number to a fraction is an essential skill in mathematics. In this article, we will explore how to convert the decimal number 0.008 into a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two integers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half of a whole.
Converting 0.008 to a Fraction
To convert the decimal number 0.008 to a fraction, we need to find the equivalent ratio of two integers. We can do this by multiplying both the numerator and the denominator by the same number until the numerator becomes an integer.
Step 1: Multiply by 1000
Since 0.008 is a small decimal number, we can multiply it by 1000 to make the numerator an integer.
0.008 × 1000 = 8
Step 2: Write the Fraction
Now, we can write the fraction as follows:
8/1000
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 8 and 1000 is 8. Therefore, we can simplify the fraction as follows:
(8 ÷ 8) / (1000 ÷ 8) = 1/125
The Final Answer
The decimal number 0.008 can be converted to the fraction:
1/125
In conclusion, converting a decimal number to a fraction is a straightforward process that involves multiplying the decimal number by a power of 10 and then simplifying the resulting fraction. By following these steps, we can convert any decimal number to its equivalent fraction.
