How to convert 20/12 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 20/12 (or 1.6666666666667 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 20/12 to a mixed number
- Simplify the fraction (20/12) by dividing both the numerator and the denominator by their GCD (4): 20/4 = 5 and 12/4 = 3. This gives 5/3.
- Use the Euclidean division method to divide the numerator (5) by the denominator (3): 5 ÷ 3 = 1 remainder 2
- 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 (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 "1 and 2/3", not "1 multiplied by 2/3".