0.2 as a fraction = 1/5
Follow the steps to understand the calculation of 0.2 as a fraction
To express 0.2 as a fraction, we need to understand that 0.2 is a decimal number, and we want to convert it to a fraction with a numerator and denominator. Or you can easily calculate with the help of fraction calculator online tool.
Step 1: Identify the decimal number.
In this case, the decimal number is 0.2.
Step 2: Understanding the place value.
The number “2” in 0.2 is in the tenths place. The place value to the right of the decimal point is 1/10.
Step 3: Writing the fraction.
To convert the decimal to a fraction, we can write 0.2 as 2/10.
Step 4: Simplifying the fraction (optional).
In this case, the fraction can be simplified further. Both the numerator (2) and the denominator (10) have a common factor of 2. We can divide both by 2 to simplify the fraction:
2 ÷ 2 = 1
10 ÷ 2 = 5
So, the simplified fraction is 1/5.
Another Approach to find out the solution of 0.2 as a fraction
Another approach is to directly convert the decimal to a fraction using the following formula:
Let d be the decimal number. Then the fraction is d/1.
Using this formula for 0.2:
Fraction = 0.2 / 1 = 2/10.
Again, we can simplify 2/10 to 1/5.
Approach 3: Using the concept of percentages.
We can also use the concept that 0.2 is the same as 20% (since 0.2 * 100 = 20%). And since percentages are fractions with a denominator of 100, we can write 20% as 20/100.
To simplify, divide both the numerator and denominator by their greatest common factor (GCF), which is 20 in this case:
20 ÷ 20 = 1
100 ÷ 20 = 5
So, 20% or 0.2 is equivalent to 1/5.
All three approaches give us the same result, which is 1/5. So, 0.2 as a fraction is 1/5.