0.83333 as a Fraction

Answer

The answer for 0.83333 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, 0.83333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.83333 becomes 0.83333/1.

Step 2: To remove the repeating decimal from a fraction, note that 0.83333 is a repeating decimal. It can be expressed as 0.83̅3, which means that 3 is repeating. Let x = 0.83̅3.

Step 3: Multiply both sides by 10 to get rid of the repeating part: 10x = 8.33̅3

Step 4: Now, subtract the original equation from this new equation: 10x - x = 8.33̅3 - 0.83̅3

Step 5: Simplifying gives: 9x = 7.5

Step 6: Divide both sides by 9 to solve for x: x = 7.5/9

Step 7: Simplify the fraction by dividing both the numerator and the denominator by 1.5: 7.5/9 = 5/6

Thus, 0.83333 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.
   
• 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 that has one or more repeating digits after the decimal point, infinitely.