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Choose the correct option. Which of the two is greater: 22/7 or 138/43? Options 22/7 is greater 138/43 is greater Both are equal Cannot be determined

Question

Choose the correct option.

Which of the two is greater: 22/7 or 138/43?

Options

  • 22/7 is greater
  • 138/43 is greater
  • Both are equal
  • Cannot be determined
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Solution

To determine which of the two fractions, 227 \frac{22}{7} or 13843 \frac{138}{43} , is greater, we can compare them directly by finding a common denominator or converting them to decimal form.

Step 1: Find the decimal values of both fractions

  1. Calculate 227 \frac{22}{7} : 2273.142857 \frac{22}{7} \approx 3.142857

  2. Calculate 13843 \frac{138}{43} : 138433.209302 \frac{138}{43} \approx 3.209302

Step 2: Compare the decimal values

  • 3.142857<3.209302 3.142857 < 3.209302

Step 3: Conclusion

Since 227 \frac{22}{7} is approximately 3.142857 and 13843 \frac{138}{43} is approximately 3.209302, we can conclude that

Final Answer

138/43 is greater.

This problem has been solved

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