16.6666666667 as a Fraction

Answer

The answer for 16.6666666667 as a fraction will be 50/3.

Explanation

Converting a repeating decimal to a fraction involves several steps but can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 16.6666666667. Since this is a repeating decimal, it can be rewritten as x = 16.6̅.

Step 2: To eliminate the repeating decimal, multiply both sides by 10, which gives 10x = 166.6̅.

Step 3: Subtract the original equation (x = 16.6̅) from this new equation (10x = 166.6̅): 10x - x = 166.6̅ - 16.6̅ 9x = 150

Step 4: Solve for x by dividing both sides by 9: x = 150/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by the GCD, which is 3: 150/9 = 50/3

Thus, 16.6666666667 can be approximated as a fraction 50/3.

• 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.