133.333 as a Fraction

Answer

The answer for 133.333 as a fraction will be 400/3.

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, 133.333 is the number on the numerator and the base number 1 will be the denominator. Then, 133.333 becomes 133.333/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 133.333/1 × 1000/1000 = 133333/1000

Step 3: The number 133333 is composed of a repeating decimal part. The repeating part is 333. To convert it, we can express it as a mixed number: 133 + 0.333. The fraction equivalent of 0.333 repeating is 1/3. Therefore, 133.333 is equivalent to 133 + 1/3.

Step 4: Convert the mixed number to an improper fraction: 133 + 1/3 = (133*3 + 1)/3 = 400/3

Thus, 133.333 can be written as the fraction 400/3.

• 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.