5.333333 as a Fraction

Answer

The answer for 5.333333 as a fraction will be 16/3.

Explanation

Converting a repeating decimal to a fraction can be done with a few steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 5.333333...

Step 2: Since the decimal repeats every 1 digit, multiply both sides of the equation by 10 to shift the decimal point one place to the right. 10x = 53.333333...

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 53.333333... - 5.333333... 9x = 48

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

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

Thus, 5.333333 can be written as a fraction 16/3.

• Fraction: A numerical quantity that represents a part of a whole, expressed as p/q, where p and q are integers and q is not zero.

• Decimal: A number expressed in the base ten, including a decimal point to separate the whole part from the fractional part.

• Repeating Decimal: A decimal number 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.