0.1212 as a Fraction
The decimal number 0.1212 can be converted to a fraction. But before we dive into that, let's understand what a fraction is.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting 0.1212 to a Fraction
To convert 0.1212 to a fraction, we need to find the numerator and the denominator. One way to do this is to multiply the decimal by a power of 10 until we get a whole number.
Step 1: Multiply 0.1212 by 100 (a power of 10):
0.1212 × 100 = 12.12
Step 2: Multiply 12.12 by 100 again:
12.12 × 100 = 1212
Now we have a whole number, 1212.
Step 3: Divide 1212 by the power of 10 we multiplied by in Step 1 (100 × 100 = 10,000):
1212 ÷ 10,000 = 1212/10,000
And that's our fraction!
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 1212 and 10,000 is 4. So, we divide both numbers by 4:
1212 ÷ 4 = 303 10,000 ÷ 4 = 2500
Our simplified fraction is:
303/2500
There you have it! The decimal number 0.1212 converted to a fraction is 303/2500.
