Question

Wanda feeds her cat a total of 2/3 cup of food every day, she feeds it 1/4 cup of food in the evening, solve an equation to find out how much food she gives to the cat the rest of the day. Explain your answer
5/12
8/12
2/3
3/4

Answer 1

To find out how much food Wanda gives to her cat during the rest of the day, we need to take the total amount of food she feeds her cat (which is \( \frac{2}{3} \) cup) and subtract the amount she gives in the evening (which is \( \frac{1}{4} \) cup).

First, we start with:

\[
\text{Total food} = \frac{2}{3} \text{ cup}
\]
\[
\text{Evening food} = \frac{1}{4} \text{ cup}
\]

Now, we need to perform the subtraction:

\[
\text{Food for the rest of the day} = \frac{2}{3} - \frac{1}{4}
\]

To subtract these fractions, we need a common denominator. The denominators here are 3 and 4. The least common multiple of 3 and 4 is 12.

Now, we will convert each fraction to have a denominator of 12:

\[
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
\]

\[
\frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12}
\]

Now we can subtract the two fractions:

\[
\text{Food for the rest of the day} = \frac{8}{12} - \frac{3}{12} = \frac{8 - 3}{12} = \frac{5}{12}
\]

Thus, the amount of food Wanda gives to her cat for the rest of the day is \( \frac{5}{12} \) cup.

### Answer:
\(\frac{5}{12}\)