Decimals and fractions are two methods used for representation of portions of the whole. It is vital to know how to change a decimal to a fraction since it will make concepts like percentages, measures, ratios, and calculations more understandable.
If you ask yourself what 0.02 as a fraction is, the answer will be:
0.02 = 2/100 = 1/50
Thus, 0.02 as a fraction in the simplest form is 1/50.
Let us find out how this calculation is done and why the answer is 1/50.
What Is 0.02 as a Fraction?
To express 0.02 in the form of a fraction, the first step is to look at the digits after the decimal point.
The number 0.02 has 2 digits after the decimal. So it’s two hundredths.
So:
0.02 = 2/100
Now simplify the fraction by dividing the numerator and denominator by the highest common factor which in this case is 2.
2 ÷ 2 = 1
100 ÷ 2 = 50
So:
0.02 = 1/50.
Quick Answer
Decimal | Initial Fraction | Simplest Fraction |
0.02 | 2/100 | 1/50 |
Thus, the final answer is:
0.02 as a fraction = 1/50
Methods for Converting 0.02 to Fraction
It is quite easy if we know the meaning of place value. Below are three steps in order to perform such conversion.
Step 1: Count the Decimal Places
In this particular situation, there are two digits after the decimal digit – 0 and 2.
The presence of two decimal digits means that the denominator is equal to 100.
So,
0.02 = 2/100
Zero does not belong to the numerator since 0.02 means 2 in hundredths, and not 20 in hundredths.
Step 2: Convert to a Fraction
Again, we will right the numerator by moving the decimal point to the right:
0.02 → 2
Because there are two digits after the decimal point, we will write the number 2 over 100.
2/100
Step 3: Reduce the Fraction
Fraction 2/100 can be lowered, as both the numerator and denominator can be divided by the number 2.
2/100 = 1/50
Thus,
0.02 = 1/50
Fraction 1/50 is the simplest form as the numbers 1 and 50 have no common factor other than 1.
0.02 as a Fraction, Percentage, and Ratio.
0.02 as a Fraction, Percentage, and Ratio
The decimal 0.02 can be represented in several mathematical forms.
| Form | Value |
|---|---|
| Decimal | 0.02 |
| Fraction | 1/50 |
| Percentage | 2% |
| Ratio | 1:50 |
To change 0.02 to a percent, you have to multiply it by 100:
0.02 × 100 = 2%
So,
0.02 = 1/50 = 2%
This can come in handy when working on various mathematics problems.
Recommended Reading: What Is 40% as a Fraction? Easy Conversion, Examples & Answer
Examples Similar to 0.02 as a Fraction
A couple of similar examples where decimals are changed into fractions are listed below:
0.01 = 1/100
0.02 = 1/50
0.03 = 3/100
0.04 = 1/25
0.05 = 1/20
0.10 = 1/10
0.20 = 1/5
0.25 = 1/4
It is crucial to understand that not all the decimals will have to be simplified equally. What matters most is to choose the proper denominator first and.
Common Mistakes When Converting 0.02 to a Fraction
One mistake often made is the use of 2/10 in converting 0.02 into a fraction. It is wrong because 0.02 is a number in two decimal places which means two hundredths.
Another error that is made when converting 0.02 into a fraction is that people usually settle for 2/100 instead of reducing it to the simplest form which should be 1/50.
People also make mistakes in confusing 0.02 with 0.2. These are two distinct numbers:
0.2 = 1/5
while:
0.02 = 1/50
The addition of an extra zero to 0.02 makes a huge
Conclusion
Conversion of 0.02 into a fraction becomes easy once you know about decimal place value. As there are two decimal places in 0.02, it means 0.02 = two hundredths = 2/100. Reduction of this fraction by dividing both the top and bottom numbers by 2 results in 1/50.
Therefore, the conversion is as follows:
0.02 = 2/100 = 1/50
Also, when you have to convert decimals into fractions of an inch for measurements, 0.02 inch will be 1/50 inch.
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