Question

crystal blue lake rose exactly $\frac{1}{5}$ foot each day for 22 days. how many feet did crystal blue lake rise in 22 days?
a. $2\frac{1}{5}$ feet
b. 4 feet
c. $4\frac{2}{5}$ feet
d. $5\frac{1}{10}$ feet

Explanation:

Step1: Identify the daily rise and number of days

The lake rises $\frac{1}{5}$ foot each day, and we need to find the total rise over 22 days. So we use multiplication: total rise = daily rise × number of days.
$$\text{Total rise} = \frac{1}{5} \times 22$$

Step2: Perform the multiplication

Multiply the numerator: $1 \times 22 = 22$, so we have $\frac{22}{5}$.

Step3: Convert to a mixed number

Divide 22 by 5: $22 \div 5 = 4$ with a remainder of 2. So $\frac{22}{5} = 4\frac{2}{5}$.

Answer:

C. $4\frac{2}{5}$ feet