Answer:
See below
Step-by-step explanation:
The LHS and RHS are exactly the same, so the equality is true.
The associate property of addition says that
[tex]\boxed{a+(b+c)=(a+b)+c}[/tex]
In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.
[tex]\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )[/tex]
[tex]\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}[/tex]
[tex]\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}[/tex]
[tex]\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}[/tex]
[tex]\dfrac{ 23 }{12}[/tex]
