5.33333333 as a Fraction

Answer

The answer for 5.33333333 as a fraction will be 16/3.

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, 5.33333333 is the number on the numerator and the base number 1 will be the denominator. Then, 5.33333333 becomes 5.33333333/1.

Step 2: Recognize the repeating decimal. Here, the digit 3 is repeating. To express this as a fraction, set x = 5.33333333...

Step 3: Multiply both sides by 10 to shift the decimal point by one place to the right. 10x = 53.3333333...

Step 4: Subtract the original equation from this new equation to eliminate the repeating part. 10x - x = 53.3333333... - 5.33333333... 9x = 48

Step 5: Solve for x. x = 48/9 Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3. 48/9 = 16/3

Thus, 5.33333333 can be written as a fraction 16/3.

• 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.
   
• 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.
   
• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.