0.93333333333 as a Fraction

Answer

The answer for 0.93333333333 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, identify the repeating part of the decimal. Here, 0.93333333333 has a repeating part of 3.

Step 2: Let x = 0.93333333333. Then, multiply both sides of the equation by 10 to shift the decimal point: 10x = 9.3333333333

Step 3: Subtract the first equation from the second equation to eliminate the repeating part: 10x - x = 9.3333333333 - 0.93333333333 9x = 8.4

Step 4: Solve for x by dividing both sides by 9: x = 8.4/9

Step 5: Simplify the fraction. Multiply both the numerator and denominator by 10 to remove the decimal: 84/90

Step 6: Simplify the fraction by finding the GCD of 84 and 90, which is 6. Divide both the numerator and denominator by 6: 84/90 = 14/15

Thus, 0.93333333333 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.
   
• 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.