Wanda feeds her cat a total of 2/3 cup of food every day. She feeds it 1/4 cup of food i n the evening. Solve an equation to find how much food she gives to the cat the rest of the day. Write your answer in fraction form only.

Answer 1

To find out how much food Wanda gives to her cat during the rest of the day, we can set up the following equation:

Let \( x \) be the amount of food she gives to the cat during the rest of the day. According to the problem, we know that:

\[ x + \frac{1}{4} = \frac{2}{3} \]

Now, we need to solve for \( x \). First, we can subtract \( \frac{1}{4} \) from both sides:

\[ x = \frac{2}{3} - \frac{1}{4} \]

To subtract the fractions, we need a common denominator. The least common denominator of 3 and 4 is 12. Now, we convert both fractions:

\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \] \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]

Now we can substitute these values back into the equation:

\[ x = \frac{8}{12} - \frac{3}{12} \]

Now, subtract the fractions:

\[ x = \frac{8 - 3}{12} = \frac{5}{12} \]

Thus, the amount of food Wanda gives to her cat for the rest of the day is

\[ \frac{5}{12} \]

So the final answer is:

\[ \frac{5}{12} \]