How to convert 100/92 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 100/92 (or 1.0869565217391 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 100/92 to a mixed number
- Simplify the fraction (100/92) by dividing both the numerator and the denominator by their GCD (4): 100/4 = 25 and 92/4 = 23. This gives 25/23.
- Use the Euclidean division method to divide the numerator (25) by the denominator (23): 25 ÷ 23 = 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 (23).
- 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 2/23", not "1 multiplied by 2/23".