At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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]
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.