Related questions with answers

You ask 150 people about their pets. The results show that $\frac{9}{25}$ of the people own a dog. Of the people who own a dog $\frac{1}{6}$ of them also own a cat.

a. What fraction of the people own a dog and a cat?

b. How many people own a dog but not a cat? Explain.

The cooking time for a ham is $\frac{2}{5}$ of an hour for each pound. a. How long should you cook a ham that weighs $12 \frac{3}{4}$ pounds? b. Dinner time is 4:45 P.M. What time should you start cooking the ham?

A bottle of water is $\frac{1}{2}$ full. You drink $\frac{2}{3}$ of the water. How much of the bottle of water do you drink? To help you think about this question, rewrite the question. Words: What is $\frac{2}{3} \text { of } \frac{1}{2} ?$ Numbers: $\frac{2}{3} \times \frac{1}{2}=?$ Draw a segment to represent a length of $\frac{1}{2}.$ Show how to divide $\frac{1}{2}$ into three equal parts. Rewrite $\frac{1}{2}$ as a fraction whose numerator is divisible by 3. Each part is $\frac{1}{6}$ of the bottle of water, and you drank two of them. Written as multiplication, you have $\frac{2}{3} \times \frac{1}{2}=$ _________. You drank __________ of the bottle of water.

Question

You ask 150 people about their pets. The results show that $\frac{9}{25}$ of the people own a dog. Of the people who own a dog, $\frac{1}{6}$ of them also own a cat. a. What fraction of the people own a dog and a cat? b. How many people own a dog but not a cat? Explain.

Solution

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To find the product of two fractions, first, we need to multiply the numerators, and after that, we need to multiply the denominators. Finally, we need to simplify the fraction.