Question

a bag contains 3 cups of flour. noah removes \\(\frac{1}{3}\\) cup of flour for baking. how much flour is left in the bag? write your answer as a mixed number.

Explanation:

Step1: Identify the operation

We need to subtract the amount of flour removed from the initial amount. The initial amount is 3 cups, and the amount removed is $\frac{1}{3}$ cup. So the operation is $3 - \frac{1}{3}$.

Step2: Convert 3 to a fraction with denominator 3

To subtract, we convert 3 to a fraction with denominator 3. $3=\frac{9}{3}$ (since $3\times3 = 9$ and the denominator is 3).

Step3: Subtract the fractions

Now we subtract: $\frac{9}{3}-\frac{1}{3}=\frac{9 - 1}{3}=\frac{8}{3}$.

Step4: Convert to a mixed number

To convert $\frac{8}{3}$ to a mixed number, we divide 8 by 3. 3 goes into 8 two times with a remainder of 2. So $\frac{8}{3}=2\frac{2}{3}$.

Answer:

$2\frac{2}{3}$ cups