How to convert 18/16 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 18/16 (or 1.125 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 18/16 to a mixed number
- Simplify the fraction (18/16) by dividing both the numerator and the denominator by their GCD (2): 18/2 = 9 and 16/2 = 8. This gives 9/8.
- Use the Euclidean division method to divide the numerator (9) by the denominator (8): 9 ÷ 8 = 1 remainder 1
- 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 (1) of the long division.
- The denominator of the fractional part remains the original denominator (8).
- 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 1/8", not "1 multiplied by 1/8".