0.29629629629 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, the numbers in decimal are expressed with a decimal point (.), For example, 0.29629629629, we are going to learn how to convert a decimal to a fraction.

What is 0.29629629629 as a Fraction?

$0.29629629629 as a fraction$

Answer

The answer for 0.29629629629 as a fraction will be 8/27.

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: Identify if the decimal is repeating. Here, 0.29629629629 is a repeating decimal with the repeating part '296'. Let's denote the repeating decimal as x, so x = 0.29629629629...

Step 2: Multiply x by a power of 10 such that the repeating part is aligned after the decimal point. Here, multiply by 1000 (since there are 3 repeating digits): 1000x = 296.29629629629...

Step 3: Subtract the original x from this new equation to eliminate the repeating part: 1000x - x = 296.29629629629... - 0.29629629629... 999x = 296 x = 296/999

Step 4: Simplify the fraction by finding the GCD of 296 and 999. The GCD is 37. 296/999 = 8/27

Thus, 0.29629629629 can be written as a fraction 8/27.

Important Glossaries for 0.29629629629 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.