How to convert 58/28 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 58/28 (or 2.0714285714286 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 58/28 to a mixed number
- Simplify the fraction (58/28) by dividing both the numerator and the denominator by their GCD (2): 58/2 = 29 and 28/2 = 14. This gives 29/14.
- Use the Euclidean division method to divide the numerator (29) by the denominator (14): 29 ÷ 14 = 2 remainder 1
- The integer of the mixed number is equal to the quotient (2) 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 (14).
- 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 "2 and 1/14", not "2 multiplied by 1/14".