0.833333333333 as a Fraction

Answer

The answer for 0.833333333333 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: Recognize that 0.833333333333 is a repeating decimal. To convert it into a fraction, we can set x = 0.833333333333.

Step 2: Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 8.33333333333.

Step 3: Since the decimal repeats every digit, subtract the original x from this equation: 10x - x = 8.33333333333 - 0.833333333333.

Step 4: This simplifies to: 9x = 7.5. Step 5: Solving for x gives: x = 7.5/9 = 5/6 after simplification.

Thus, 0.833333333333 can be written as a fraction 5/6.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal that has one or more repeating digits after the decimal point.

• 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.

• Simplification: The process of reducing a fraction to its simplest form.