0.08 As A Fraction In Simplest Form

2 min read Jul 05, 2024
0.08 As A Fraction In Simplest Form

0.08 as a Fraction in Simplest Form

What is 0.08 as a Fraction?

The decimal number 0.08 can be written as a fraction in its simplest form. But before we dive into that, let's understand what a fraction is.

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, 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 divide the numerator by the denominator. Since 0.08 is a decimal number, we need to convert it to a fraction with a denominator that is a power of 10 (in this case, 100).

0.08 = 8/100

Simplifying the Fraction

Now that we have the fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).

The GCD of 8 and 100 is 4. So, we can divide both numbers by 4:

8 ÷ 4 = 2 100 ÷ 4 = 25

Simplest Form: 2/25

Therefore, the simplest form of 0.08 as a fraction is:

2/25

This is the most simplified form of the fraction, where both the numerator and the denominator are prime numbers.

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