How to convert 38/18 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 38/18 (or 2.1111111111111 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 38/18 to a mixed number
- Simplify the fraction (38/18) by dividing both the numerator and the denominator by their GCD (2): 38/2 = 19 and 18/2 = 9. This gives 19/9.
- Use the Euclidean division method to divide the numerator (19) by the denominator (9): 19 ÷ 9 = 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 (9).
- 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 1/9", not "2 multiplied by 1/9".