9.33333333333 as a Fraction

Answer

The answer for 9.33333333333 as a fraction will be 28/3.

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: Identify the repeating part of the decimal. Here, 9.33333333333 has a repeating part of '3'.

Step 2: Let x = 9.33333333333. Multiply both sides by 10 to move the decimal point for the repeating part: 10x = 93.3333333333

Step 3: Subtract the original equation (x = 9.33333333333) from this new equation: 10x - x = 93.3333333333 - 9.33333333333 9x = 84

Step 4: Solve for x by dividing both sides by 9: x = 84/9

Step 5: Simplify the fraction 84/9. The GCD of 84 and 9 is 3. Divide both numerator and denominator by 3: 84/9 = 28/3

Thus, 9.33333333333 can be written as a fraction 28/3.

• 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.

• 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.