5.33333333333 as a Fraction

Answer

The answer for 5.33333333333 as a fraction will be 16/3.

Explanation

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

Step 1: Let x = 5.33333333333...

Step 2: Multiply both sides by 10 to shift the decimal point one place to the right, resulting in 10x = 53.3333333333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating decimal part: 10x - x = 53.3333333333... - 5.33333333333... This simplifies to: 9x = 48

Step 4: Solve for x by dividing both sides by 9: x = 48/9

Step 5: Simplify the fraction 48/9 by dividing both the numerator and denominator by their GCD, which is 3: 48/9 = 16/3

Thus, 5.33333333333 can be written as a fraction 16/3.

• Fraction: A numerical quantity representing a part of a whole, expressed as one number over another.

• 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.

• Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers without a remainder.