Answer: No, Cammie is not correct. She can mow
in one hour (See explanation).
Step-by-step explanation:
Convert the mixed number to an impoper fraction:
1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.
2. The denominator does not change.
Then:
![1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B%281%2A4%29%2B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7D)
Let be "x" the acres Cammie can mow in one hour.
You know that she can mow
in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):
![\frac{\frac{1}{2}}{25}=\frac{x}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B25%7D%3D%5Cfrac%7Bx%7D%7B60%7D)
Solving for "x", you get:
![\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B25%7D%3D%5Cfrac%7Bx%7D%7B60%7D%5C%5C%5C%5C%2860%29%28%5Cfrac%7B1%7D%7B50%7D%29%3Dx%5C%5C%5C%5Cx%3D%5Cfrac%7B6%7D%7B5%7D)
Convert from improper fraction to mixed number:
1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.
2. The remainder is 1. This will be the numerator.
3. The denominator does not change.
Then:
![x=1\frac{1}{5}](https://tex.z-dn.net/?f=x%3D1%5Cfrac%7B1%7D%7B5%7D)
Therefore, she can mow
in one hour.