0.93333 as a Fraction

Answer

The answer for 0.93333 as a fraction will be 14/15.

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, 0.93333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.93333 becomes 0.93333/1.

Step 2: To remove the repeating decimal, recognize it as 0.93333... which can be expressed as 0.9 + 0.03333...

Step 3: The repeating part 0.03333... can be represented as 1/30 (since 0.03333... = 1/30).

Step 4: Combine the non-repeating and repeating parts: 0.9 = 9/10 and 0.03333... = 1/30. To add these, convert to a common denominator: 9/10 = 27/30 and 1/30 = 1/30. So, 0.93333 = 27/30 + 1/30 = 28/30.

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 2. 28/30 = 14/15.

Thus, 0.93333 can be written as a fraction 14/15.

• 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 that has one or more repeating digits or a repeating block of digits after the decimal point.