33.3333333333 as a Fraction

Answer

The answer for 33.3333333333 as a fraction will be 100/3.

Explanation

Converting a decimal to a fraction can be done easily by following some steps. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any repeating decimal number should be expressed as a fraction. Here, let x = 33.3333333333...

Step 2: Multiply both sides by 10 to shift the decimal point by one place: 10x = 333.3333333333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 333.3333333333... - 33.3333333333... 9x = 300

Step 4: Solve for x by dividing both sides by 9: x = 300/9 Step 5: Simplify the fraction by finding the GCD of 300 and 9, which is 3: 300/9 = (300 ÷ 3)/(9 ÷ 3) = 100/3

Thus, 33.3333333333 can be written as a fraction 100/3.

• 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.