0.005 As Fraction

3 min read Jul 04, 2024
0.005 As Fraction

0.005 as a Fraction

In this article, we will explore how to convert the decimal number 0.005 to a fraction.

What is a Fraction?

A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). For example, the fraction 1/2 represents one half.

Converting 0.005 to a Fraction

To convert the decimal number 0.005 to a fraction, we need to find the equivalent ratio of two numbers.

Method 1: Divide by the Denominator

One way to convert 0.005 to a fraction is to divide it by the denominator. In this case, we can divide 0.005 by 1000, since 1000 is the largest power of 10 that is less than or equal to 0.005.

0.005 ÷ 1000 = 1/200

So, 0.005 as a fraction is 1/200.

Method 2: Use a Conversion Formula

Another way to convert 0.005 to a fraction is to use a conversion formula. The formula is:

fraction = decimal × (1 / denominator)

where denominator is the power of 10 that corresponds to the number of decimal places in the decimal number.

For 0.005, the denominator is 1000, since it has three decimal places.

fraction = 0.005 × (1 / 1000) = 0.005 × 1/1000 = 1/200

Again, we get the same result: 0.005 as a fraction is 1/200.

Conclusion

In this article, we have learned how to convert the decimal number 0.005 to a fraction using two different methods. Both methods yield the same result: 0.005 as a fraction is 1/200.

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