How to convert 56/34 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 56/34 (or 1.6470588235294 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 56/34 to a mixed number
- Simplify the fraction (56/34) by dividing both the numerator and the denominator by their GCD (2): 56/2 = 28 and 34/2 = 17. This gives 28/17.
- Use the Euclidean division method to divide the numerator (28) by the denominator (17): 28 ÷ 17 = 1 remainder 11
- 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 (11) of the long division.
- The denominator of the fractional part remains the original denominator (17).
- 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 11/17", not "1 multiplied by 11/17".