To solve the given problem [tex]\(\frac{2}{5} \times -7\)[/tex], follow these steps:
1. Identify the fraction and the multiplier:
- The fraction is [tex]\(\frac{2}{5}\)[/tex].
- The multiplier is [tex]\(-7\)[/tex].
2. Convert the fraction to its decimal form by dividing the numerator by the denominator:
- [tex]\(\frac{2}{5} = 0.4\)[/tex].
3. Multiply the decimal form of the fraction by the multiplier:
- [tex]\(0.4 \times -7 = -2.8\)[/tex].
So, [tex]\(\frac{2}{5} \times -7 = -2.8\)[/tex].
Given the precision of calculations and rounding in mathematical operations, the result includes an additional insignificant digit due to floating-point representation. However, the correct simplified answer is:
[tex]\[
\frac{2}{5} \times -7 = -2.8
\][/tex]
