5.3333333333 as a Fraction

Answer

The answer for 5.3333333333 as a fraction is 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: Identify the repeating part of the decimal. Here, 3 is repeating in 5.3333333333. Let's denote the number as x = 5.3333333333...

Step 2: Multiply x by 10 to move the repeating part: 10x = 53.3333333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 53.3333333333... - 5.3333333333... This gives: 9x = 48

Step 4: Solve for x: x = 48/9

Step 5: Simplify the fraction: 48/9 = 16/3

Thus, 5.3333333333 can be written as the fraction 16/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• 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.
   
• Simplifying: The process of reducing a fraction to its simplest form.