How to convert 99/51 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 99/51 (or 1.9411764705882 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 99/51 to a mixed number
- Simplify the fraction (99/51) by dividing both the numerator and the denominator by their GCD (3): 99/3 = 33 and 51/3 = 17. This gives 33/17.
- Use the Euclidean division method to divide the numerator (33) by the denominator (17): 33 ÷ 17 = 1 remainder 16
- 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 (16) of the long division.
- The denominator of the fractional part remains the original denominator (17).
- 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 16/17", not "1 multiplied by 16/17".