9.33333 as a Fraction

Answer

The answer for 9.33333 as a fraction is 28/3.

Explanation

Converting a repeating decimal to a fraction can be straightforward. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 9.33333...

Step 2: Since 3 is repeating, multiply both sides by 10 to shift the decimal point one place to the right: 10x = 93.33333...

Step 3: Subtract the original equation (x = 9.33333...) from this new equation: 10x - x = 93.33333... - 9.33333...

Step 4: This simplifies to: 9x = 84

Step 5: Solve for x by dividing both sides by 9: x = 84/9

Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 84/9 = 28/3

Thus, 9.33333 can be written as a fraction 28/3.

• Fraction: A numerical quantity that represents a part of a whole, expressed as a ratio of two numbers.

• 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 equal parts make up a whole.

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