Question

Which number is greater, 23 x 10/3 or 11 x 10/4? How do you know? Show your work and explain your and explain your steps.

Answer 1

To determine which number is greater between \( 23 \times \frac{10}{3} \) and \( 11 \times \frac{10}{4} \), we will calculate each expression step by step.

### Step 1: Calculate \( 23 \times \frac{10}{3} \)

1. **Multiply 23 by 10**:
\[
23 \times 10 = 230
\]

2. **Now divide by 3**:
\[
\frac{230}{3} = 76.6667 \quad \text{(approximately)}
\]

### Step 2: Calculate \( 11 \times \frac{10}{4} \)

1. **Multiply 11 by 10**:
\[
11 \times 10 = 110
\]

2. **Now divide by 4**:
\[
\frac{110}{4} = 27.5
\]

### Step 3: Compare the Results

Now we can compare the two results:

- \( \frac{230}{3} \approx 76.6667 \)
- \( \frac{110}{4} = 27.5 \)

### Conclusion

Since \( 76.6667 > 27.5 \), we can conclude that:
\[
23 \times \frac{10}{3} > 11 \times \frac{10}{4}
\]

Therefore, \( 23 \times \frac{10}{3} \) is greater.