0.23333 as a Fraction

Answer

The answer for 0.23333 as a fraction will be 7/30.

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, convert the repeating decimal to a fraction. Here, 0.23333 is a repeating decimal with '3' repeating. Let x = 0.23333...

Step 2: Multiply by 10 to shift the decimal point one place to the right: 10x = 2.3333...

Step 3: Multiply by 10 again to shift the decimal point one more place: 100x = 23.3333...

Step 4: Subtract the equation in Step 2 from the equation in Step 3: 100x - 10x = 23.3333... - 2.3333... 90x = 21

Step 5: Solve for x: x = 21/90 Step 6: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 21/90 = 7/30

Thus, 0.23333 can be written as a fraction 7/30.

• 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.