How to convert 16/6 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 16/6 (or 2.6666666666667 in its decimal form), can be rewritten as what we call "mixed numbers", providing a clearer understanding and representation of the value.
Step-by-step conversion of 16/6 to a mixed number
- Simplify the fraction (16/6) by dividing both the numerator and the denominator by their GCD (2): 16/2 = 8 and 6/2 = 3. This gives 8/3.
- Use the Euclidean division method to divide the numerator (8) by the denominator (3): 8 ÷ 3 = 2 remainder 2
- The integer of the mixed number is equal to the quotient (2) of the long division.
- The numerator of the fractional part is equal to the remainder (2) of the long division.
- The denominator of the fractional part remains the original denominator (3).
- Combine these element to form the fractional part:
Thus, the result of converting to a mixed number is:
Please note that it should be read as "2 and 2/3", not "2 multiplied by 2/3".