To multiply \(-1.7\) by \(2 \frac{1}{2}\), we first convert \(2 \frac{1}{2}\) to an improper fraction.
\[ 2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2} \]
Now we multiply \(-1.7\) by \(\frac{5}{2}\):
First, convert \(-1.7\) to a fraction:
\[ -1.7 = -\frac{17}{10} \]
Now multiply the two fractions:
\[ -\frac{17}{10} \times \frac{5}{2} = -\frac{17 \times 5}{10 \times 2} = -\frac{85}{20} \]
Next, we simplify \(-\frac{85}{20}\):
Both 85 and 20 can be divided by 5:
\[ -\frac{85 \div 5}{20 \div 5} = -\frac{17}{4} \]
Now, convert \(-\frac{17}{4}\) to a mixed number:
To convert \(-\frac{17}{4}\) to a mixed number, divide:
17 divided by 4 is 4 with a remainder of 1, so:
\[ -\frac{17}{4} = -4 \frac{1}{4} \]
Thus, the answer in simplest form is:
\[ \text{negative } 4 \frac{1}{4} \]
The correct response is:
negative 4 Start Fraction 1 over 4 End Fraction
2 answers