How to convert 21/12 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 21/12 (or 1.75 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 21/12 to a mixed number
- Simplify the fraction (21/12) by dividing both the numerator and the denominator by their GCD (3): 21/3 = 7 and 12/3 = 4. This gives 7/4.
- Use the Euclidean division method to divide the numerator (7) by the denominator (4): 7 ÷ 4 = 1 remainder 3
- 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 (3) of the long division.
- The denominator of the fractional part remains the original denominator (4).
- 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 3/4", not "1 multiplied by 3/4".