Question

What is negative 1.7 times 2.5 as a mixed number in simplest form?

Answer 1

To find the product of \(-1.7\) and \(2.5\), we start by performing the multiplication:

\[
-1.7 \times 2.5 = -4.25
\]

Next, we need to convert \(-4.25\) into a mixed number. A mixed number consists of a whole number and a proper fraction.

1. The whole number part is \(-4\) (since \(-4.25\) is between \(-5\) and \(-4\)).
2. To find the fraction, we take the decimal part \(0.25\) and convert it to a fraction.

The decimal \(0.25\) can be expressed as:

\[
0.25 = \frac{25}{100} = \frac{1}{4}
\]

So, combining these, we have:

\[
-4.25 = -4 - \frac{1}{4}
\]

This gives us the mixed number in simplest form:

\[
-4 \frac{1}{4}
\]

Thus, the answer is:

\[
\boxed{-4 \frac{1}{4}}
\]