To evaluate the statement \( 1 \frac{3}{4}% \) __ \( 1.75% \), we first convert \( 1 \frac{3}{4}% \) into a decimal:
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Convert \( 1 \frac{3}{4} \) to an improper fraction: \[ 1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \]
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Now, convert \( \frac{7}{4} % \) to a decimal: \[ \frac{7}{4} % = \frac{7}{4} \times 0.01 = \frac{7}{400} \]
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Calculate \( \frac{7}{400} \): \[ \frac{7}{400} = 0.0175 \]
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Now we can compare \( 0.0175 \) (which is \( 1 \frac{3}{4}% \)) to \( 1.75% \): \[ 1.75% = 0.0175 \]
Now we can see that: \[ 0.0175 = 0.0175 \]
Thus, \( 1 \frac{3}{4}% = 1.75% \).
Therefore, the correct symbol to make the statement true is: \[ \text{=} \]