Answer:
[tex] \displaystyle{ - \frac{5 } {8} - ( \frac{ - 4}{3} )}[/tex]
[tex] \displaystyle{ - \frac{5}{8} + \frac{4}{3} }[/tex]
- Multiples of 8={8,16,24,32,40,48...}
- Multiples of 3={3,6,9,12,15,18,21,24,27...}
- Least common multiple=24
So,
- Converting each of them into equivalent like fractions:
[tex] \displaystyle{ - \frac{5}{8} = - \frac{5 \times 3}{8 \times 3} = - \frac{15}{24} }[/tex]
[tex] \displaystyle{ \frac{4}{8} = \frac{4 \times 8}{3 \times 8} = \frac{32}{24} }[/tex]
Now you can add the like fractions easily.
[tex] \displaystyle{}- \frac{15}{24} + \frac{32}{24} = - \frac{15 + 32}{24} = - \frac{17}{24} [/tex]
Step-by-step explanation:
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