0.833333333 as a Fraction

Answer

The answer for 0.833333333 as a fraction will be 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, recognize that 0.833333333 is a repeating decimal. Here, the repeating part is "3". Let x = 0.833333333...

Step 2: Multiply x by 10 to shift the decimal point: 10x = 8.33333333...

Step 3: Subtract the original x from this equation: 10x - x = 8.33333333... - 0.83333333... 9x = 7.5

Step 4: Solve for x by dividing both sides by 9: x = 7.5/9

Step 5: Simplify the fraction. Divide the numerator and the denominator by 1.5 (the GCD of 7.5 and 9): 7.5/9 = 5/6

Thus, 0.833333333 can be written as a fraction 5/6.

• 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 pattern of one or more 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.