How to convert 51/33 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 51/33 (or 1.5454545454545 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 51/33 to a mixed number
- Simplify the fraction (51/33) by dividing both the numerator and the denominator by their GCD (3): 51/3 = 17 and 33/3 = 11. This gives 17/11.
- Use the Euclidean division method to divide the numerator (17) by the denominator (11): 17 ÷ 11 = 1 remainder 6
- The integer of the mixed number is equal to the quotient (1) of the long division.
- The numerator of the fractional part is equal to the remainder (6) of the long division.
- The denominator of the fractional part remains the original denominator (11).
- 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 "1 and 6/11", not "1 multiplied by 6/11".