How to convert 34/3 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 34/3 (or 11.333333333333 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 34/3 to a mixed number
- Use the Euclidean division method to divide the numerator (34) by the denominator (3): 34 ÷ 3 = 11 remainder 1
- The integer of the mixed number is equal to the quotient (11) 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 "11 and 1/3", not "11 multiplied by 1/3".