https://file.aiquickdraw.com/mathbot/file/1726174233411yoo433u3.jpg

To solve the problem, we need to determine how many pounds of newspaper Rose collected by multiplying the amount Audrey collected by the factor given.

### Step 1: Convert Mixed Numbers to Improper Fractions
1. **Audrey's collection**: \(1 \frac{7}{8}\)
   \[
   1 \frac{7}{8} = \frac{8 \times 1 + 7}{8} = \frac{15}{8}
   \]

2. **Multiplication factor**: \(4 \frac{9}{10}\)
   \[
   4 \frac{9}{10} = \frac{10 \times 4 + 9}{10} = \frac{49}{10}
   \]

### Step 2: Multiply the Fractions
Multiply the two fractions to find how many pounds of newspaper Rose collected:
\[
\frac{15}{8} \times \frac{49}{10} = \frac{15 \times 49}{8 \times 10} = \frac{735}{80}
\]

### Step 3: Simplify the Fraction
Simplify \(\frac{735}{80}\):
1. Find the greatest common divisor (GCD) of 735 and 80, which is 5.
2. Divide the numerator and the denominator by 5:
   \[
   \frac{735 \div 5}{80 \div 5} = \frac{147}{16}
   \]

### Step 4: Convert to a Mixed Number
Convert \(\frac{147}{16}\) to a mixed number:
\[
147 \div 16 = 9 \text{ remainder } 3, \text{ so } \frac{147}{16} = 9 \frac{3}{16}
\]

### Final Answer
Rose collected \(9 \frac{3}{16}\) pounds of newspaper.

Would you like more details or have any questions?

Here are some related questions:
1. How do you convert mixed numbers to improper fractions?
2. What steps are involved in multiplying fractions?
3. How do you simplify fractions?
4. What is the process to convert an improper fraction to a mixed number?
5. How can you find the GCD of two numbers?

**Tip:** When multiplying mixed numbers, always convert them to improper fractions first for easier calculations.

Audrey collected 1 7/8 pounds of newspaper for the recycling drive. Rose collected 4 9/10 times as much newspaper as Audrey. How many pounds of newspaper did Rose collect?

Learn how to multiply mixed numbers with this step-by-step guide, solving how many pounds of newspaper Rose collected by multiplying 1 7/8 by 4 9/10. Suitable for Grade 6 students, this problem covers converting mixed numbers to improper fractions, multiplying fractions, and simplifying results.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation