How to convert 39/9 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 39/9 (or 4.3333333333333 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 39/9 to a mixed number
- Simplify the fraction (39/9) by dividing both the numerator and the denominator by their GCD (3): 39/3 = 13 and 9/3 = 3. This gives 13/3.
- Use the Euclidean division method to divide the numerator (13) by the denominator (3): 13 ÷ 3 = 4 remainder 1
- The integer of the mixed number is equal to the quotient (4) 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 (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 "4 and 1/3", not "4 multiplied by 1/3".