0.583333 as a Fraction

Answer

The answer for 0.583333 as a fraction will be 7/12.

Explanation

Converting a decimal to a fraction is a task that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, express 0.583333 with the repeating part. Here, 0.583333 is a repeating decimal with 3 repeating.

Step 2: Let x = 0.583333... Multiply both sides by 10 to the power of the number of repeating digits to move the decimal point past the repeat: 10x = 5.83333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x = 5.83333... -x = 0.58333... 9x = 5.25

Step 4: Solve for x by dividing both sides by 9: x = 5.25/9

Step 5: Convert 5.25 into a fraction. Since 5.25 = 21/4, the equation becomes: x = (21/4) / 9 = 21/36

Step 6: Simplify 21/36 by dividing both the numerator and the denominator by their GCD, which is 3: 21/36 = 7/12

Thus, 0.583333 can be written as a fraction 7/12.

• 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 digit or group of digits repeats infinitely.

• GCD (Greatest Common Divisor): The largest number that can divide two numbers without leaving a remainder.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.