0.23333 as a Fraction

Professor Greenline Explaining Math Concepts

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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. A 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, 0.23333, we are going to learn how to convert a decimal to a fraction.

What is 0.23333 as a Fraction?

$0.23333 as a fraction$

Answer

The answer for 0.23333 as a fraction will be 7/30.

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, convert the repeating decimal to a fraction. Here, 0.23333 is a repeating decimal with '3' repeating. Let x = 0.23333...

Step 2: Multiply by 10 to shift the decimal point one place to the right: 10x = 2.3333...

Step 3: Multiply by 10 again to shift the decimal point one more place: 100x = 23.3333...

Step 4: Subtract the equation in Step 2 from the equation in Step 3: 100x - 10x = 23.3333... - 2.3333... 90x = 21

Step 5: Solve for x: x = 21/90 Step 6: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 21/90 = 7/30

Thus, 0.23333 can be written as a fraction 7/30.

Important Glossaries for 0.23333 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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
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.