3.33333333333 as a Fraction

Answer

The answer for 3.33333333333 as a fraction will be 10/3.

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 understood in terms of its repeating part for easy calculation. Here, 3.33333333333 is a repeating decimal with the repeating part being '3'. Represent the number as 3.3̅.

Step 2: Let x = 3.3̅. Multiply both sides by 10 to shift the repeating part: 10x = 33.3̅

Step 3: Subtract the original equation (x = 3.3̅) from this new equation: 10x - x = 33.3̅ - 3.3̅ 9x = 30

Step 4: Solve for x by dividing both sides by 9: x = 30/9

Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 30/9 = 10/3

Thus, 3.33333333333 can be written as a fraction 10/3.

• 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.