How to convert 94/60 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 94/60 (or 1.5666666666667 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 94/60 to a mixed number
- Simplify the fraction (94/60) by dividing both the numerator and the denominator by their GCD (2): 94/2 = 47 and 60/2 = 30. This gives 47/30.
- Use the Euclidean division method to divide the numerator (47) by the denominator (30): 47 ÷ 30 = 1 remainder 17
- 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 (17) of the long division.
- The denominator of the fractional part remains the original denominator (30).
- 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 17/30", not "1 multiplied by 17/30".