0.83333333 as a Fraction

Answer

The answer for 0.83333333 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, any decimal number should be converted to a fraction for easy calculation. Here, 0.83333333 is a repeating decimal, so we can represent it as x = 0.83333333...

Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 8.3333333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 8.3333333... - 0.8333333... 9x = 7.5

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

Step 5: To simplify, multiply both numerator and denominator by 10 to eliminate the decimal: x = 75/90

Step 6: Here, 15 is the GCD of 75 and 90. Now, to make the fraction simpler, divide the numerator and denominator by 15. 75/90 = 5/6

Thus, 0.83333333 can be written as the 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.

• 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.

• Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.