0.83333333333 as a Fraction

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Numbers can be categorized into different types. A fraction is one such type, 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 part of a whole. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 0.83333333333. We are going to learn how to convert a decimal to a fraction.

What is 0.83333333333 as a Fraction?

$0.83333333333 as a fraction$ Answer

The answer for 0.83333333333 as a fraction is 5/6.

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, represent the repeating decimal 0.83333333333 as x: x = 0.83333333333.

Step 2: Multiply both sides by 10 to move the decimal point one place to the right: 10x = 8.3333333333.

Step 3: Now multiply both sides by 10 again to align the decimals: 100x = 83.3333333333.

Step 4: Subtract the original equation from this new equation: 100x - 10x = 83.3333333333 - 8.3333333333. 90x = 75

Step 5: Solve for x by dividing both sides by 90: x = 75/90

Step 6: Simplify the fraction by finding the GCD of 75 and 90, which is 15: 75 ÷ 15 = 5 90 ÷ 15 = 6 Therefore, x = 5/6

Thus, 0.83333333333 can be written as the fraction 5/6.

Important Glossaries for 0.83333333333 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 sequence of digits repeats indefinitely.
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.