Simplifying 0.08 as a Fraction of 100
When dealing with decimal numbers, it's often useful to convert them into fractions to better understand their value. In this case, we're going to simplify 0.08 as a fraction of 100.
The Decimal Value: 0.08
The decimal value 0.08 is a representation of a fraction of a whole. To convert it into a fraction, we need to find the equivalent fraction.
Converting 0.08 to a Fraction
To convert 0.08 to a fraction, we can divide the decimal value by 100, since there are 100 cents in 1 dollar.
0.08 ÷ 100 = 8/100
Simplifying the Fraction
Now that we have the fraction 8/100, we can simplify it further 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
This gives us the simplified fraction:
2/25
The Simplified Answer
Therefore, 0.08 simplified as a fraction of 100 is 2/25.
