2.13333 as a Fraction

Answer

The answer for 2.13333 as a fraction is 640/300.

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, 2.13333 is the number. We separate the whole number part (2) from the decimal part (0.13333).

Step 2: To convert the repeating decimal part, denote 0.13333 as x. Multiply x by 10 to shift the decimal point: 10x = 1.3333. Now, subtract the original x from this equation: 10x - x = 1.3333 - 0.13333, resulting in 9x = 1.2.

Step 3: Solve for x to find the fraction of the decimal part: x = 1.2/9.

Step 4: Combine the whole number and the fraction: 2 + 1.2/9. To have a common denominator, convert 2 to 18/9. This results in 18/9 + 1.2/9 = (18 + 1.2)/9 = 19.2/9.

Step 5: To make the fraction simpler, convert 19.2/9 to a fraction with integer numerator and denominator. Multiply by 100 to eliminate the decimal: (19.2×100)/(9×100) = 1920/900. Simplify by dividing by their GCD, which is 60: 1920/900 = 32/15.

Thus, 2.13333 can be written as a fraction 32/15.

• 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.