Write a problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 

Here is a math problem that involves multiplying a fraction by a whole number, with the product falling between 8 and 10:

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**Problem:**

A recipe calls for \( \frac{5}{6} \) of a cup of sugar for each batch of cookies. If you want to make 12 batches of cookies, how much sugar do you need in total?

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**Solution:**

To find out how much sugar you need in total, multiply \( \frac{5}{6} \) by 12:

\[
\frac{5}{6} \times 12 = \frac{5 \times 12}{6} = \frac{60}{6} = 10
\]

So, you will need 10 cups of sugar to make 12 batches of cookies.

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Would you like more details or have any questions about this solution?

Here are five related questions to explore:

1. What would happen if you only wanted to make 8 batches instead of 12?
2. How would you calculate the amount of sugar if the fraction was \( \frac{3}{4} \)?
3. What if you had 15 batches? How much sugar would be needed?
4. Can you convert the fraction \( \frac{5}{6} \) to a decimal and verify the product?
5. What would be the result if the whole number was halved?

**Tip:** When multiplying a fraction by a whole number, simplify the fraction first if possible to make the calculation easier.

Write a problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10.

Solve a math problem involving the multiplication of a fraction by a whole number where the product is between 8 and 10. This problem covers key concepts in multiplication of fractions and whole numbers, with a step-by-step solution provided. Suitable for students in Grades 5-6.

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