Table Of Contents
Last updated on March 24th, 2025
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents 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, 0.363636, we are going to learn how to convert a decimal to a fraction.
The answer for 0.363636 as a fraction will be 4/11.
Converting a repeating decimal to a fraction involves a few steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.363636...
Step 2: Multiply both sides by 100 to shift the decimal point: 100x = 36.363636...
Step 3: Subtract the original equation (x = 0.363636...) from this new equation: 100x - x = 36.363636... - 0.363636... 99x = 36
Step 4: Solve for x by dividing both sides by 99: x = 36/99 Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 36 and 99, which is 9: 36/99 = 4/11
Thus, 0.363636 can be written as a fraction 4/11.