How to convert 93/81 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 93/81 (or 1.1481481481481 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 93/81 to a mixed number
- Simplify the fraction (93/81) by dividing both the numerator and the denominator by their GCD (3): 93/3 = 31 and 81/3 = 27. This gives 31/27.
- Use the Euclidean division method to divide the numerator (31) by the denominator (27): 31 ÷ 27 = 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 (27).
- 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 4/27", not "1 multiplied by 4/27".