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.