How to convert 60/9 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 60/9 (or 6.6666666666667 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 60/9 to a mixed number
- Simplify the fraction (60/9) by dividing both the numerator and the denominator by their GCD (3): 60/3 = 20 and 9/3 = 3. This gives 20/3.
- Use the Euclidean division method to divide the numerator (20) by the denominator (3): 20 ÷ 3 = 6 remainder 2
- The integer of the mixed number is equal to the quotient (6) 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 (3).
- 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 "6 and 2/3", not "6 multiplied by 2/3".