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Effectuer chaque calcul et simplifier le résultat.

a. [tex]\frac{23}{8} + \frac{15}{8} - \frac{6}{8} =[/tex]

b. [tex]\frac{17}{10} - \frac{3}{10} - \frac{29}{10} =[/tex]

c. [tex]\frac{13}{30} + \frac{5}{30} - \frac{24}{30} =[/tex]

Answer :

Sure! Let's solve these fraction problems step by step.

### Part a:

We have:

[tex]\[
\frac{23}{8} + \frac{15}{8} - \frac{6}{8}
\][/tex]

Since all the fractions have the same denominator, we can directly add or subtract the numerators:

[tex]\[
= \frac{23 + 15 - 6}{8}
\][/tex]

[tex]\[
= \frac{32}{8}
\][/tex]

Simplifying [tex]\(\frac{32}{8}\)[/tex], we get:

[tex]\[
= 4
\][/tex]

### Part b:

We have:

[tex]\[
\frac{17}{10} - \frac{3}{10} - \frac{29}{10}
\][/tex]

Again, the fractions have the same denominator, so we subtract the numerators:

[tex]\[
= \frac{17 - 3 - 29}{10}
\][/tex]

[tex]\[
= \frac{-15}{10}
\][/tex]

Simplifying [tex]\(\frac{-15}{10}\)[/tex], we get:

[tex]\[
= -1.5
\][/tex]

### Part c:

We have:

[tex]\[
\frac{13}{30} + \frac{5}{30} - \frac{24}{30}
\][/tex]

With a common denominator, add and subtract the numerators:

[tex]\[
= \frac{13 + 5 - 24}{30}
\][/tex]

[tex]\[
= \frac{-6}{30}
\][/tex]

Simplifying [tex]\(\frac{-6}{30}\)[/tex], we get:

[tex]\[
= -0.2
\][/tex]

So, the simplified results are:
- For part a, the result is [tex]\(4\)[/tex].
- For part b, the result is [tex]\(-1.5\)[/tex].
- For part c, the result is [tex]\(-0.2\)[/tex].

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