0.833333333333333 as a Fraction

Answer

The answer for 0.833333333333333 as a fraction will be 5/6.

Explanation

Converting a repeating 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: Let x = 0.833333333333333...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 8.333333333333333...

Step 3: Subtract the original equation (x = 0.833333333333333...) from this new equation: 10x - x = 8.333333333333333... - 0.833333333333333... 9x = 7.5

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

Step 5: Simplify the fraction: 7.5/9 = 75/90 = 5/6

Thus, 0.833333333333333 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 that has one or more repeating digits or a sequence of digits.

• 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.