To convert the improper fraction 22/7 into a mixed number, we start by dividing the numerator (22) by the denominator (7).
1. Perform the division:
– 22 ÷ 7 = 3 with a remainder.
– The whole number part of the mixed number is the result of the division, which is 3.
2. Next, we calculate the remainder:
– After multiplying 3 (the result) by 7 (the denominator), we get 21.
– Now, subtract this result from the original numerator:
22 – 21 = 1. This gives us the numerator of the fractional part of the mixed number.
3. The remaining fraction is then formed using the remainder over the original denominator:
– The fraction that complements the whole number part is 1/7.
4. Now combine the whole number and the fractional part to obtain the mixed number:
22/7 = 3 1/7.
In conclusion, 22/7 can be expressed as the mixed number 3 1/7.