To solve the expression [tex]\(\left(\frac{-8}{11}\right) \times 5\)[/tex], we proceed as follows:
1. Understand the problem:
The expression involves multiplying the fraction [tex]\(\frac{-8}{11}\)[/tex] by the integer 5.
2. Multiply the fraction by the integer:
When we multiply a fraction by an integer, we multiply the numerator of the fraction by the integer, and the denominator remains the same.
Our fraction is [tex]\(\frac{-8}{11}\)[/tex] and we need to multiply it by 5.
3. Perform the multiplication:
- The numerator [tex]\(-8\)[/tex] is multiplied by 5.
[tex]\[
-8 \times 5 = -40
\][/tex]
- The denominator remains as 11.
Thus, the fraction becomes:
[tex]\[
\frac{-40}{11}
\][/tex]
4. Simplify the result:
This fraction [tex]\(\frac{-40}{11}\)[/tex] can be left as an improper fraction, or can be converted to a decimal for better interpretation.
5. Convert to decimal form:
To convert [tex]\(\frac{-40}{11}\)[/tex] to a decimal, we perform the division [tex]\(-40 \div 11\)[/tex]:
[tex]\[
-40 \div 11 \approx -3.6363636363636367
\][/tex]
Therefore, the result of the expression [tex]\(\left(\frac{-8}{11}\right) \times 5\)[/tex] is approximately [tex]\(-3.6363636363636367\)[/tex].
