IDNLearn.com makes it easy to find accurate answers to your questions. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
Sagot :
Sure, let's solve the expression step by step.
First, simplify the fraction in the numerator:
[tex]\[ \frac{-6 + 5}{9} = \frac{-1}{9} \][/tex]
Next, we need to deal with the division by the fraction [tex]\(\frac{-1}{6}\)[/tex]. Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we need the reciprocal of [tex]\(\frac{-1}{6}\)[/tex]:
[tex]\[ \text{Reciprocal of } \frac{-1}{6} \text{ is } \frac{6}{-1} = -6 \][/tex]
Now, we can perform the division by multiplying [tex]\(\frac{-1}{9}\)[/tex] by [tex]\(-6\)[/tex]:
[tex]\[ \frac{-1}{9} \times -6 \][/tex]
Perform the multiplication:
[tex]\[ \left(\frac{-1 \times -6}{9}\right) = \frac{6}{9} = \frac{2}{3} \][/tex]
Thus, the result is:
[tex]\[ \frac{2}{3} \approx 0.6666\ldots \][/tex]
So, the detailed breakdown of the solution gives the final result:
[tex]\[ \left(\frac{-6+5}{9}\right) \div \frac{(-1)}{6} = 0.6666666666666666 \][/tex]
First, simplify the fraction in the numerator:
[tex]\[ \frac{-6 + 5}{9} = \frac{-1}{9} \][/tex]
Next, we need to deal with the division by the fraction [tex]\(\frac{-1}{6}\)[/tex]. Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we need the reciprocal of [tex]\(\frac{-1}{6}\)[/tex]:
[tex]\[ \text{Reciprocal of } \frac{-1}{6} \text{ is } \frac{6}{-1} = -6 \][/tex]
Now, we can perform the division by multiplying [tex]\(\frac{-1}{9}\)[/tex] by [tex]\(-6\)[/tex]:
[tex]\[ \frac{-1}{9} \times -6 \][/tex]
Perform the multiplication:
[tex]\[ \left(\frac{-1 \times -6}{9}\right) = \frac{6}{9} = \frac{2}{3} \][/tex]
Thus, the result is:
[tex]\[ \frac{2}{3} \approx 0.6666\ldots \][/tex]
So, the detailed breakdown of the solution gives the final result:
[tex]\[ \left(\frac{-6+5}{9}\right) \div \frac{(-1)}{6} = 0.6666666666666666 \][/tex]
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.