Let's evaluate the two sums step by step.
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Evaluate the first sum: \[ 0.5 + \frac{3}{4} \] First, convert \(0.5\) to a fraction: \[ 0.5 = \frac{1}{2} \] Now find a common denominator for \(\frac{1}{2}\) and \(\frac{3}{4}\). The common denominator is \(4\): \[ \frac{1}{2} = \frac{2}{4} \] Now add: \[ \frac{2}{4} + \frac{3}{4} = \frac{5}{4} \] So, the first sum is: \[ 0.5 + \frac{3}{4} = \frac{5}{4} = 1.25 \]
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Evaluate the second sum: \[ 3^2 + \frac{2}{5} \] First, calculate \(3^2\): \[ 3^2 = 9 \] Now we can express \(9\) as a fraction with a denominator of \(5\): \[ 9 = \frac{9 \times 5}{5} = \frac{45}{5} \] Now add: \[ \frac{45}{5} + \frac{2}{5} = \frac{45 + 2}{5} = \frac{47}{5} \] To convert this to a decimal or mixed number: \[ \frac{47}{5} = 9.4 \]
Now we summarize:
- First sum: \(1.25\)
- Second sum: \(9.4\)
Comparison: Since \(1.25 < 9.4\), the correct statement would be that the first sum is less than the second sum.
If there are specific statements associated with numbers that you want to evaluate against this result, please provide them!
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