10.33333 as a Fraction

Answer

The answer for 10.33333 as a fraction will be 31/3.

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, 10.33333 is the number on the numerator and the base number 1 will be the denominator. Then, 10.33333 becomes 10.33333/1.

Step 2: To convert the repeating decimal to a fraction, we need to express it as a mixed number. Here, 10 is the whole number, and 0.33333 is the repeating decimal part.

Step 3: 0.33333 is approximately equivalent to 1/3. Thus, 10.33333 can be expressed as 10 + 1/3.

Step 4: To express 10 + 1/3 as a single fraction, convert 10 into a fraction with the same denominator as 1/3, which is 3. So, 10 becomes 30/3.

Step 5: Add the fractions: 30/3 + 1/3 = 31/3.

Thus, 10.33333 can be written as a fraction 31/3.

• 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.