How to convert 22/14 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 22/14 (or 1.5714285714286 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 22/14 to a mixed number
- Simplify the fraction (22/14) by dividing both the numerator and the denominator by their GCD (2): 22/2 = 11 and 14/2 = 7. This gives 11/7.
- Use the Euclidean division method to divide the numerator (11) by the denominator (7): 11 ÷ 7 = 1 remainder 4
- 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 (4) of the long division.
- The denominator of the fractional part remains the original denominator (7).
- 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 4/7", not "1 multiplied by 4/7".