0.73333 as a Fraction

Answer

The answer for 0.73333 as a fraction is 11/15.

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, 0.73333 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.73333 becomes 0.73333/1.

Step 2: To remove the repeating decimal, recognize that 0.73333 is equivalent to 0.73 with the 3 repeating. This can be expressed as 0.73 + 0.00333...

Step 3: Convert 0.73 to a fraction: 73/100.

Step 4: Convert the repeating part 0.00333... into a fraction. This is 0.00333... = 1/300.

Step 5: Combine the fractions: 73/100 + 1/300. Find a common denominator and add: 73/100 = 219/300 1/300 = 1/300 219/300 + 1/300 = 220/300

Step 6: Simplify the fraction 220/300 by dividing the numerator and denominator by their GCD, which is 20. 220/300 = 11/15

Thus, 0.73333 can be written as a fraction 11/15.

• 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.