Converting 0.08 into a Fraction
In mathematics, converting a decimal number to a fraction is a fundamental concept. In this article, we will explore how to convert the decimal number 0.08 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, i.e., a numerator and a denominator. For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.08 to a Fraction
To convert 0.08 to a fraction, we need to find the numerator and denominator. Since 0.08 is a decimal number, we can write it as a fraction by dividing the numerator by the denominator.
Step 1: Divide 0.08 by 1
To convert 0.08 to a fraction, we can divide 0.08 by 1, which gives us:
0.08 ÷ 1 = 0.08
Step 2: Find the Equivalent Fraction
Since 0.08 is a repeating decimal, we can multiply both the numerator and denominator by 100 to get:
0.08 × 100 = 8 1 × 100 = 100
Now, we can write the fraction as:
8/100
Simplifying the Fraction
We can simplify the fraction 8/100 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
8 ÷ 4 = 2 100 ÷ 4 = 25
So, the simplified fraction is:
2/25
Result
Therefore, the decimal number 0.08 can be converted to the fraction 2/25.
In conclusion, converting a decimal number to a fraction is an important skill in mathematics. By following the steps outlined above, we can easily convert 0.08 to the fraction 2/25.
