How to convert 40/18 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 40/18 (or 2.2222222222222 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 40/18 to a mixed number
- Simplify the fraction (40/18) by dividing both the numerator and the denominator by their GCD (2): 40/2 = 20 and 18/2 = 9. This gives 20/9.
- Use the Euclidean division method to divide the numerator (20) by the denominator (9): 20 ÷ 9 = 2 remainder 2
- 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 (2) 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 2/9", not "2 multiplied by 2/9".