0.008 In Simplest Fraction Form

2 min read Jul 04, 2024
0.008 In Simplest Fraction Form

0.008 in Simplest Fraction Form

In this article, we will explore how to convert the decimal number 0.008 into its simplest fraction form.

What is a Fraction?

A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.

Converting Decimals to Fractions

To convert a decimal to a fraction, we need to divide the decimal by the appropriate power of 10. In this case, we want to convert 0.008 to a fraction.

Step 1: Divide by the Power of 10

To convert 0.008 to a fraction, we need to divide it by 1000 (since 0.008 has three decimal places). This gives us:

0.008 ÷ 1000 = 8/1000

Step 2: Simplify the Fraction

Now, we need to simplify the fraction 8/1000. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 8 and 1000 is 8. So, we can simplify the fraction as follows:

8 ÷ 8 = 1 1000 ÷ 8 = 125

This gives us the simplified fraction:

1/125

The Answer

Therefore, the simplest fraction form of 0.008 is:

1/125

In conclusion, we have successfully converted the decimal number 0.008 to its simplest fraction form, which is 1/125.

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