0.5833333333 as a Fraction

Answer

The answer for 0.5833333333 as a fraction will be 7/12.

Explanation

Converting a decimal to a fraction can be done easily by following specific steps. 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, 0.5833333333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.5833333333 becomes 0.5833333333/1.

Step 2: Since 0.5833333333 is a repeating decimal (0.5833...), we can express it as a fraction. Let x = 0.5833333333. Multiply both sides by 10 to move one decimal place: 10x = 5.8333333333. Subtract the original equation from this one: 10x - x = 5.8333333333 - 0.5833333333, which simplifies to 9x = 5.25.

Step 3: Solve for x by dividing both sides by 9, which results in x = 5.25/9. Simplify this fraction by multiplying the numerator and denominator by 4 to eliminate the decimal: 5.25 × 4 = 21 and 9 × 4 = 36, so the fraction becomes 21/36.

Step 4: Simplify 21/36 by finding the GCD, which is 3. Divide both the numerator and denominator by 3: 21/36 = 7/12.

Thus, 0.5833333333 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.

• 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 in which a digit or group of digits repeats infinitely.