0.233333 as a Fraction

Answer

The answer for 0.233333 as a fraction is 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, any decimal number should be converted to a fraction for easy calculation. Here, 0.233333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.233333 becomes 0.233333/1.

Step 2: Since the decimal 0.233333 is repeating, let's denote it by x. Therefore, x = 0.233333... and multiply both sides by 1000 (since the repeating part starts after 3 places). 1000x = 233.333...

Step 3: Now, subtract the original equation from this new equation. 1000x - x = 233.333... - 0.233333... 999x = 233.1

Step 4: Solve for x by dividing both sides by 999. x = 233.1 / 999 Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 233.1 and 999, which is 3. x = (233.1/3) / (999/3) = 7/30

Thus, 0.233333 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 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.