Brad collected 8 9/16 pounds of newspaper for the recycling drive. Larry collected 10 7/20 times as much newspaper as Brad. How many pounds of newspaper did Larry collect?

Write your answer as a fraction or as a whole or mixed number.

To determine how many pounds of newspaper Larry collected, we multiply the amount Brad collected by the factor that Larry's collection exceeds Brad's.

Brad collected \( 8 \frac{9}{16} \) pounds, and Larry collected \( 10 \frac{7}{20} \) times as much.

### Step 1: Convert both mixed numbers to improper fractions

For Brad:
\[
8 \frac{9}{16} = \frac{8 \times 16 + 9}{16} = \frac{128 + 9}{16} = \frac{137}{16}
\]

For Larry's factor:
\[
10 \frac{7}{20} = \frac{10 \times 20 + 7}{20} = \frac{200 + 7}{20} = \frac{207}{20}
\]

### Step 2: Multiply the improper fractions
To find Larry's collection, multiply \( \frac{137}{16} \) by \( \frac{207}{20} \):
\[
\frac{137}{16} \times \frac{207}{20} = \frac{137 \times 207}{16 \times 20} = \frac{28359}{320}
\]

### Step 3: Simplify the fraction
We need to simplify \( \frac{28359}{320} \) if possible. Since there are no common factors between 28359 and 320, the fraction is already in its simplest form.

### Step 4: Convert to a mixed number
Now, divide 28359 by 320:
\[
28359 \div 320 = 88 \text{ remainder } 279
\]
So,
\[
\frac{28359}{320} = 88 \frac{279}{320}
\]

Thus, Larry collected \( 88 \frac{279}{320} \) pounds of newspaper.

Would you like further details or clarification on any step?

### Related Questions:
1. How would you simplify the fraction if there was a common factor?
2. How can you convert mixed numbers to improper fractions in general?
3. What is the process of multiplying fractions?
4. How can you convert improper fractions to mixed numbers efficiently?
5. How do you check whether a fraction can be simplified?

### Tip:
Always convert mixed numbers to improper fractions when performing operations like multiplication or division.

Brad collected 8 9/16 pounds of newspaper for the recycling drive. Larry collected 10 7/20 times as much newspaper as Brad. How many pounds of newspaper did Larry collect?

Learn how to multiply mixed numbers by converting to improper fractions in this detailed problem. Brad collected 8 9/16 pounds of newspaper, and Larry collected 10 7/20 times more. Step-by-step solution included, suitable for Grades 6-8.

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