Kendall feeds her cat a total of 4/5

Question

cup of food every day. She feeds it 1/2
cup of food in 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.(1 point)

Answer 1

Let \( x \) be the amount of cat food Kendall gives in the morning and afternoon combined. According to the problem, we have the equation:

\[ x + \frac{1}{2} = \frac{4}{5} \]

To solve for \( x \), first, we need to isolate \( x \):

\[ x = \frac{4}{5} - \frac{1}{2} \]

To perform this subtraction, we need a common denominator. The least common denominator of 5 and 2 is 10.

Convert \( \frac{4}{5} \) and \( \frac{1}{2} \) to tenths:

\[ \frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10} \] \[ \frac{1}{2} = \frac{1 \times 5}{2 \times 5} = \frac{5}{10} \]

Now substitute these values back into the equation:

\[ x = \frac{8}{10} - \frac{5}{10} \] \[ x = \frac{3}{10} \]

Thus, Kendall gives her cat \( \frac{3}{10} \) cup of food the rest of the day.