A bottle contains $$ 4 \frac{1}{2} $$ cups of juice. One serving of the juice is $$ \frac{3}{4} $$ cup. How many servings are in the bottle? Enter your answer in the box. servings

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UpStudy AI · Accepted Answer

To find out how many servings are in the bottle, we need to divide the total amount of juice by the amount of juice per serving.

1. **Convert the mixed number to an improper fraction:**
   $$
   4 \frac{1}{2} = \frac{4 \times 2 + 1}{2} = \frac{8 + 1}{2} = \frac{9}{2}
   $$

2. **Set up the division of the total juice by the serving size:**
   $$
   \text{Number of servings} = \frac{\text{Total juice}}{\text{Serving size}} = \frac{\frac{9}{2}}{\frac{3}{4}}
   $$

3. **Dividing fractions involves multiplying by the reciprocal:**
   $$
   \frac{9}{2} \div \frac{3}{4} = \frac{9}{2} \times \frac{4}{3}
   $$

4. **Multiply the fractions:**
   $$
   = \frac{9 \times 4}{2 \times 3} = \frac{36}{6} = 6
   $$

Thus, there are $$ 6 $$ servings in the bottle.
There are 6 servings in the bottle.

A bottle contains \( 4 \frac{1}{2} \) cups of juice. One serving of the juice is \( \frac{3}{4} \) cup. How many servings are in the bottle? Enter your answer in the box. servings

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