Last updated on May 26th, 2025
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 0.15%. We are going to learn how to convert a percentage to a fraction.
The answer for 0.15% as a fraction will be 3/2000.
Converting a percentage to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any percentage should be converted to a decimal for easy calculation. Here, 0.15% is the number. To convert a percentage to a decimal, divide by 100. 0.15% = 0.15/100 = 0.0015
Step 2: Now, convert the decimal 0.0015 into a fraction. The decimal number will be the numerator and 1 will be the denominator. Then, 0.0015 becomes 0.0015/1.
Step 3: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are four decimal places). 0.0015/1 × 10000/10000 = 15/10000
Step 4: Here, 5 is the GCD of 15 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 15/10000 = 3/2000
Thus, 0.15% can be written as a fraction 3/2000.