Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Let’s solve these problems step-by-step.
For part (i):
Given expression:
[tex]\[ \sqrt{\frac{5}{6}} + \frac{-6}{5} + \frac{4}{10} + \frac{-7}{6} \][/tex]
First, simplify each term:
[tex]\[ \sqrt{\frac{5}{6}} \][/tex]
[tex]\(\sqrt{\frac{5}{6}}\)[/tex] is already simplified.
[tex]\[ \frac{-6}{5} \][/tex]
[tex]\(\frac{-6}{5}\)[/tex] is already in its simplest form.
[tex]\[ \frac{4}{10} \][/tex]
This simplifies to:
[tex]\[ \frac{4}{10} = \frac{2}{5} \][/tex]
[tex]\[ \frac{-7}{6} \][/tex]
[tex]\(\frac{-7}{6}\)[/tex] is already simplified.
Now, we sum these terms:
[tex]\[ \sqrt{\frac{5}{6}} + \frac{-6}{5} + \frac{2}{5} + \frac{-7}{6} \][/tex]
Combining the like terms involves considering common denominators and simplifying:
The terms combine to yield [tex]\( -1.0537957374913898 \)[/tex].
For part (ii):
Given expression:
[tex]\[ \frac{3}{8} + \frac{5}{12} + \frac{5}{7} + \frac{7}{12} \][/tex]
First, simplify each term:
[tex]\[ \frac{3}{8} \][/tex]
[tex]\(\frac{3}{8}\)[/tex] is already simplified.
[tex]\[ \frac{5}{12} \][/tex]
[tex]\(\frac{5}{12}\)[/tex] is already simplified.
[tex]\[ \frac{5}{7} \][/tex]
[tex]\(\frac{5}{7}\)[/tex] is already simplified.
[tex]\[ \frac{7}{12} \][/tex]
[tex]\(\frac{7}{12}\)[/tex] is already simplified.
Now, we sum these terms:
[tex]\[ \frac{3}{8}, \frac{5}{12}, \frac{5}{7}, \frac{7}{12} \][/tex]
Combining the like terms, with appropriate common denominators and simplifications, yields [tex]\( 2.0892857142857144 \)[/tex].
So, the final sums are:
(i) [tex]\(-1.0537957374913898\)[/tex]
(ii) [tex]\(2.0892857142857144\)[/tex]
For part (i):
Given expression:
[tex]\[ \sqrt{\frac{5}{6}} + \frac{-6}{5} + \frac{4}{10} + \frac{-7}{6} \][/tex]
First, simplify each term:
[tex]\[ \sqrt{\frac{5}{6}} \][/tex]
[tex]\(\sqrt{\frac{5}{6}}\)[/tex] is already simplified.
[tex]\[ \frac{-6}{5} \][/tex]
[tex]\(\frac{-6}{5}\)[/tex] is already in its simplest form.
[tex]\[ \frac{4}{10} \][/tex]
This simplifies to:
[tex]\[ \frac{4}{10} = \frac{2}{5} \][/tex]
[tex]\[ \frac{-7}{6} \][/tex]
[tex]\(\frac{-7}{6}\)[/tex] is already simplified.
Now, we sum these terms:
[tex]\[ \sqrt{\frac{5}{6}} + \frac{-6}{5} + \frac{2}{5} + \frac{-7}{6} \][/tex]
Combining the like terms involves considering common denominators and simplifying:
The terms combine to yield [tex]\( -1.0537957374913898 \)[/tex].
For part (ii):
Given expression:
[tex]\[ \frac{3}{8} + \frac{5}{12} + \frac{5}{7} + \frac{7}{12} \][/tex]
First, simplify each term:
[tex]\[ \frac{3}{8} \][/tex]
[tex]\(\frac{3}{8}\)[/tex] is already simplified.
[tex]\[ \frac{5}{12} \][/tex]
[tex]\(\frac{5}{12}\)[/tex] is already simplified.
[tex]\[ \frac{5}{7} \][/tex]
[tex]\(\frac{5}{7}\)[/tex] is already simplified.
[tex]\[ \frac{7}{12} \][/tex]
[tex]\(\frac{7}{12}\)[/tex] is already simplified.
Now, we sum these terms:
[tex]\[ \frac{3}{8}, \frac{5}{12}, \frac{5}{7}, \frac{7}{12} \][/tex]
Combining the like terms, with appropriate common denominators and simplifications, yields [tex]\( 2.0892857142857144 \)[/tex].
So, the final sums are:
(i) [tex]\(-1.0537957374913898\)[/tex]
(ii) [tex]\(2.0892857142857144\)[/tex]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.