How to convert 54/28 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 54/28 (or 1.9285714285714 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 54/28 to a mixed number
- Simplify the fraction (54/28) by dividing both the numerator and the denominator by their GCD (2): 54/2 = 27 and 28/2 = 14. This gives 27/14.
- Use the Euclidean division method to divide the numerator (27) by the denominator (14): 27 ÷ 14 = 1 remainder 13
- 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 (13) 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 "1 and 13/14", not "1 multiplied by 13/14".