Question

Multiply −1.7%0D%0A−%0D%0A1.7%0D%0A by 2 1/2%0D%0A2%0D%0A1%0D%0A2%0D%0A. Write the answer as a mixed number in simplest form.(1 point)%0D%0AResponses%0D%0A%0D%0A−2 34/100%0D%0A−%0D%0A2%0D%0A34%0D%0A100%0D%0Anegative 2 Start Fraction 34 over 100 End Fraction%0D%0A%0D%0A−414%0D%0A−%0D%0A4%0D%0A1%0D%0A4%0D%0Anegative 4 Start Fraction 1 over 4 End Fraction%0D%0A%0D%0A−4520%0D%0A−%0D%0A4%0D%0A5%0D%0A20%0D%0Anegative 4 Start Fraction 5 over 20 End Fraction%0D%0A%0D%0A−174%0D%0A−%0D%0A17%0D%0A4%0D%0Anegative Start Fraction 17 over 4 End Fraction%0D%0A

Answer 1

To solve \(-1.7%\) multiplied by \(2.5%\), we can first convert the percentages into decimal form:

1. Convert \(-1.7%\) to a decimal: \[ -1.7% = -\frac{1.7}{100} = -0.017 \]

2. Convert \(2.5%\) to a decimal: \[ 2.5% = \frac{2.5}{100} = 0.025 \]

Now, we multiply the two decimals:

\[ -0.017 \times 0.025 \]

Calculating this gives: \[ -0.017 \times 0.025 = -0.000425 \]

Now we can convert \(-0.000425\) back to a percentage:

\[ -0.000425 = -0.0425% \]

To express \(-0.0425%\) as a mixed number in simplest form:

First, convert the decimal to a fraction: \[ -0.0425 = -\frac{425}{10000} \]

Next, simplify the fraction. Both the numerator and the denominator can be divided by 25: \[ -\frac{425 \div 25}{10000 \div 25} = -\frac{17}{400} \]

Since \(-\frac{17}{400}\) is already in simplest form, we can express it as a mixed number:

\(-0.0425%\) when written as a negative fraction is: \[ -\frac{17}{400} \]

Thus, the final answer is: \[ \text{negative } \frac{17}{400} \text{ or } -\frac{17}{400} \] This corresponds to one of your options if it's formatted as such.