How to convert 58/36 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 58/36 (or 1.6111111111111 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 58/36 to a mixed number
- Simplify the fraction (58/36) by dividing both the numerator and the denominator by their GCD (2): 58/2 = 29 and 36/2 = 18. This gives 29/18.
- Use the Euclidean division method to divide the numerator (29) by the denominator (18): 29 ÷ 18 = 1 remainder 11
- 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 (11) of the long division.
- The denominator of the fractional part remains the original denominator (18).
- 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 11/18", not "1 multiplied by 11/18".