How to convert 32/18 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 32/18 (or 1.7777777777778 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 32/18 to a mixed number
- Simplify the fraction (32/18) by dividing both the numerator and the denominator by their GCD (2): 32/2 = 16 and 18/2 = 9. This gives 16/9.
- Use the Euclidean division method to divide the numerator (16) by the denominator (9): 16 ÷ 9 = 1 remainder 7
- 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 (7) 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 7/9", not "1 multiplied by 7/9".