How to convert 21/7 to a mixed number?
Sometimes fractions exceed the value of "1", making them improper. Such fractions, such as 21/7 (or 3 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 21/7 to a mixed number
- Simplify the fraction (21/7) by dividing both the numerator and the denominator by their GCD (7): 21/7 = 3 and 7/7 = 1. This gives 3.
- Use the Euclidean division method to divide the numerator (3) by the denominator (1): 3 ÷ 1 = 3 remainder 0
- The integer of the mixed number is equal to the quotient (3) of the long division.
- The numerator of the fractional part is equal to the remainder (0) of the long division.
- The denominator of the fractional part remains the original denominator (1).
- 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 "3 and 0/1", not "3 multiplied by 0/1".