7.33333333333 as a Fraction

Answer

The answer for 7.33333333333 as a fraction will be 22/3.

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 in the decimal. Here, 7.33333333333 has a repeating part, which is 3.

Step 2: Let x = 7.33333333333... and multiply both sides by 10 to shift the decimal point right by one place. 10x = 73.33333333333...

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 73.33333333333... - 7.33333333333... 9x = 66

Step 4: Solve for x by dividing both sides by 9. x = 66/9

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 66 and 9, which is 3. Divide both the numerator and the denominator by 3. 66/9 = 22/3

Thus, 7.33333333333 can be written as a fraction 22/3.

• 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 sequence 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.