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Simplify the following:

(i) [tex]$\frac{2}{3}+\frac{-3}{5}+\frac{1}{6}+\frac{-8}{15}$[/tex]

(iv) [tex]$\frac{-2}{3}+\left(\frac{3}{4}+\frac{1}{-5}\right)=\left(\frac{-2}{3}\right)$[/tex]

Sagot :

GinnyAnswer
Sure, let's go through each part step-by-step.

### Part (iv):
We need to simplify the expression:
[tex]$ \frac{-2}{3} + \left( \frac{3}{4} + \frac{1}{-5} \right) $[/tex]

First, let's simplify the term inside the parentheses:
[tex]$ \frac{3}{4} + \frac{1}{-5} $[/tex]

Second, we combine these results:
[tex]$ \frac{-2}{3} + \left( \frac{3}{4} + \frac{1}{-5} \right) $[/tex]

The final simplified result for this expression is:
[tex]$ -0.11666666666666659 $[/tex]

### Part (i):
We need to simplify the expression:
[tex]$ \frac{2}{3} + \frac{-3}{5} + \frac{1}{6} + \frac{-8}{15} $[/tex]

To do this, we perform each addition step-by-step:

1. Combine [tex]\(\frac{2}{3}\)[/tex] and [tex]\(\frac{-3}{5}\)[/tex].
2. Add [tex]\(\frac{1}{6}\)[/tex] to the result.
3. Finally, add [tex]\(\frac{-8}{15}\)[/tex].

The simplified result for this expression is:
[tex]$ -0.30000000000000004 $[/tex]
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