How to convert 33/6 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 33/6 (or 5.5 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 33/6 to a mixed number
- Simplify the fraction (33/6) by dividing both the numerator and the denominator by their GCD (3): 33/3 = 11 and 6/3 = 2. This gives 11/2.
- Use the Euclidean division method to divide the numerator (11) by the denominator (2): 11 ÷ 2 = 5 remainder 1
- The integer of the mixed number is equal to the quotient (5) of the long division.
- The numerator of the fractional part is equal to the remainder (1) of the long division.
- The denominator of the fractional part remains the original denominator (2).
- 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 "5 and 1/2", not "5 multiplied by 1/2".