0.133333 as a Fraction

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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, 0.133333, we are going to learn how to convert a decimal to a fraction.

What is 0.133333 as a Fraction?

$0.133333 as a fraction$

Answer

The answer for 0.133333 as a fraction will be 2/15.

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, any decimal number should be converted to fraction for easy calculation. Here, 0.133333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.133333 becomes 0.133333/1.

Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 100000 (because there are 6 decimal places). 0.133333/1 × 100000/100000 = 13333.3/100000

Step 3: Since 0.133333 is a repeating decimal, we can express it as 0.13 + 0.003333... The repeating part is 0.003333..., which can be expressed as 1/300. Adding up gives us 13/100 + 1/300 = 2/15.

Thus, 0.133333 can be written as a fraction 2/15.

Important Glossaries for 0.133333 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 that has one or more repeating numbers or sequences of numbers after the decimal point.