6.33333333333 as a Fraction

Answer

The answer for 6.33333333333 as a fraction will be 19/3.

Explanation

Converting a repeating 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: Let x be the repeating decimal 6.33333333333. Therefore, x = 6.33333333333.

Step 2: Multiply both sides of the equation by 10 to shift the decimal point one place to the right because there is one digit repeating. 10x = 63.3333333333

Step 3: Subtract the original equation (x = 6.33333333333) from the new equation (10x = 63.3333333333). 10x - x = 63.3333333333 - 6.33333333333 This results in: 9x = 57

Step 4: Solve for x by dividing both sides by 9. x = 57/9

Step 5: Simplify the fraction. The GCD of 57 and 9 is 3. Divide both numerator and denominator by 3. 57/9 = 19/3 Hence, 6.33333333333 is in the form of the fraction 19/3.

Thus, 6.33333333333 can be written as a fraction 19/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.

• 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.

• Simplification: The process of reducing a fraction to its simplest form by dividing both numerator and denominator by their greatest common divisor (GCD).