3.3333 as a Fraction

Answer

The answer for 3.3333 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, 3.3333 is the number on the numerator and the base number 1 will be the denominator. Then, 3.3333 becomes 3.3333/1.

Step 2: To eliminate the repeating decimal, express it as a fraction. Let x = 3.3333. Multiply x by 10 to shift the decimal point: 10x = 33.3333

Step 3: Subtract the original x from this equation: 10x - x = 33.3333 - 3.3333 9x = 30

Step 4: Solve for x by dividing both sides by 9: x = 30/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 30/9 = 10/3

Thus, 3.3333 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 in which a digit or group of digits repeats infinitely.