How to convert 26/18 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 26/18 (or 1.4444444444444 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 26/18 to a mixed number
- Simplify the fraction (26/18) by dividing both the numerator and the denominator by their GCD (2): 26/2 = 13 and 18/2 = 9. This gives 13/9.
- Use the Euclidean division method to divide the numerator (13) by the denominator (9): 13 ÷ 9 = 1 remainder 4
- 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 (4) 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 "1 and 4/9", not "1 multiplied by 4/9".