0.3636 as a Fraction

Professor Greenline Explaining Math Concepts

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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. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 0.3636. We are going to learn how to convert a decimal to a fraction.

What is 0.3636 as a Fraction?

$0.3636 as a fraction$ Answer

The answer for 0.3636 as a fraction will be 4/11.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, identify if the decimal is repeating or terminating. Here, 0.3636 is a repeating decimal.

Step 2: Let x = 0.3636... (where the digits '36' repeat indefinitely).

Step 3: Multiply both sides of the equation by 100 (since the repeating part '36' is 2 digits long): 100x = 36.3636...

Step 4: Subtract the original equation (x = 0.3636...) from this new equation: 100x - x = 36.3636... - 0.3636... 99x = 36

Step 5: Solve for x by dividing both sides by 99: x = 36/99

Step 6: Simplify the fraction by finding the GCD of 36 and 99, which is 9: 36/99 = 4/11

Thus, 0.3636 can be written as a fraction 4/11.

Important Glossaries for 0.3636 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Repeating Decimal: A decimal in which a sequence of digits repeats infinitely after the decimal point.