0.63333 as a Fraction

Answer

The answer for 0.63333 as a fraction is 19/30.

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, 0.63333 is the number with repeating decimals, which can be expressed as 0.63333... = 0.63̅3. This is a repeating decimal.

Step 2: To convert a repeating decimal to a fraction, let x = 0.63̅3. Multiply both sides by 100 to shift the decimal point: 100x = 63.3̅3

Step 3: Now, subtract the original equation (x = 0.63̅3) from this new equation: 100x - x = 63.3̅3 - 0.63̅3 99x = 63.3 - 0.63

Step 4: The subtraction results in 99x = 63 - 0.6 = 62.7. Since we want the fraction in simplest form, convert 62.7 to an improper fraction: 62.7 = 627/10

Step 5: Now, we solve for x: 99x = 627/10 x = (627/10) / 99 = 627 / 990

Step 6: Simplify the fraction by finding the GCD of 627 and 990, which is 33: 627/990 = (627/33) / (990/33) = 19/30

Thus, 0.63333 can be written as a fraction 19/30.

• 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.