Question

Choose the symbol that makes the following sentence true: 1 3/4% __ 1.75%.

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=

Answer 1

To evaluate the statement \( 1 \frac{3}{4}\% \) __ \( 1.75\% \), we first convert \( 1 \frac{3}{4}\% \) into a decimal:

1. Convert \( 1 \frac{3}{4} \) to an improper fraction:
\[ 1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \]

2. Now, convert \( \frac{7}{4} \% \) to a decimal:
\[ \frac{7}{4} \% = \frac{7}{4} \times 0.01 = \frac{7}{400} \]

3. Calculate \( \frac{7}{400} \):
\[ \frac{7}{400} = 0.0175 \]

4. 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:
\[
\text{=}
\]