3.33333 as a Fraction

Answer

The answer for 3.33333 as a fraction will be 10/3.

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, 3.33333 is the number on the numerator and the base number 1 will be the denominator. Then, 3.33333 becomes 3.33333/1.

Step 2: To remove the repeating decimal from a fraction, recognize that 3.33333 is a repeating decimal. Set x = 3.33333. Multiply both sides by 10 to shift the decimal point: 10x = 33.33333.

Step 3: Subtract the original equation (x = 3.33333) from this new equation (10x = 33.33333), which gives 9x = 30.

Step 4: Solve for x by dividing both sides by 9: x = 30/9. Simplify this fraction by dividing by the GCD of 30 and 9, which is 3. Therefore, 30/9 = 10/3. Hence, 3.33333 is in the form fraction of 10/3.

Thus, 3.33333 can be written as a fraction 10/3.

• 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 that has one or more repeating digits after the decimal point, continuing infinitely.