Question

Please explain this in steps please friends​

Answer 1

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

$\boxed{a+(b+c)=(a+b)+c}$

In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.

$\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )$

$\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}$

$\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}$

$\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}$

$\dfrac{ 23 }{12}$