How to convert 68/20 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 68/20 (or 3.4 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 68/20 to a mixed number
- Simplify the fraction (68/20) by dividing both the numerator and the denominator by their GCD (4): 68/4 = 17 and 20/4 = 5. This gives 17/5.
- Use the Euclidean division method to divide the numerator (17) by the denominator (5): 17 ÷ 5 = 3 remainder 2
- The integer of the mixed number is equal to the quotient (3) 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 (5).
- 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 "3 and 2/5", not "3 multiplied by 2/5".