13.33333333 as a Fraction

Answer:

The answer for 13.33333333 as a fraction will be 40/3.

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 converted to a fraction for easy calculation. Here, 13.33333333 is the number on the numerator and the base number 1 will be the denominator. Then, 13.33333333 becomes 13.33333333/1.

Step 2: Since 13.33333333 is a repeating decimal, we set x = 13.33333333. Then, multiplying both sides by 10 to eliminate the repeating part: 10x = 133.3333333...

Step 3: Subtract x from 10x to eliminate the repeating decimal: 10x - x = 133.3333333... - 13.3333333... 9x = 120

Step 4: Solve for x by dividing both sides by 9: x = 120/9

Step 5: Simplify the fraction by finding the GCD of 120 and 9, which is 3. 120/9 = 40/3

Thus, 13.33333333 can be written as a fraction 40/3.

• 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 fraction in which a figure or group of figures is repeated indefinitely.

• 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.