Katie bought 4 3/16 pounds of green grapes and 7/8 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?

To find out how much more the green grapes weigh than the red grapes, we need to subtract the weight of the red grapes from the weight of the green grapes.

1. **Weight of green grapes**: \( 4 \frac{3}{16} \) pounds
2. **Weight of red grapes**: \( \frac{7}{8} \) pounds

### Step 1: Convert the mixed number to an improper fraction
First, convert \( 4 \frac{3}{16} \) to an improper fraction:
\[
4 \frac{3}{16} = \frac{4 \times 16 + 3}{16} = \frac{64 + 3}{16} = \frac{67}{16}
\]

### Step 2: Convert fractions to have a common denominator
Next, convert \( \frac{7}{8} \) to a fraction with the same denominator as \( \frac{67}{16} \):
\[
\frac{7}{8} = \frac{7 \times 2}{8 \times 2} = \frac{14}{16}
\]

### Step 3: Subtract the fractions
Now, subtract \( \frac{14}{16} \) from \( \frac{67}{16} \):
\[
\frac{67}{16} - \frac{14}{16} = \frac{67 - 14}{16} = \frac{53}{16}
\]

### Step 4: Convert the improper fraction back to a mixed number
Finally, convert \( \frac{53}{16} \) back to a mixed number:
\[
\frac{53}{16} = 3 \frac{5}{16}
\]

### Conclusion:
The green grapes weigh \( 3 \frac{5}{16} \) pounds more than the red grapes.

Would you like any more details or explanations?

Here are some related questions:
1. How do you convert a mixed number into an improper fraction?
2. What is the process of finding a common denominator for fractions?
3. How can you convert an improper fraction into a mixed number?
4. What is the difference between a mixed number and an improper fraction?
5. How would the answer change if the weight of the red grapes was \( \frac{15}{16} \) pounds?

**Tip:** Always ensure that fractions have a common denominator before performing addition or subtraction operations.

Discover how to calculate the difference in weight between 4 3/16 pounds of green grapes and 7/8 of a pound of red grapes. Follow a step-by-step solution involving converting mixed numbers to improper fractions, finding a common denominator, and subtracting fractions. Suitable for students in Grades 5-7.

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