Answer:

• [tex] \sf{ \dfrac{52}{9} }[/tex]

Step-by-step explanation:

Given Problem,

• [tex] \sf{2 \times \dfrac{4}{9} + 4 \times \dfrac{7}{18} + 5 \times \dfrac{2}{3} }[/tex]

We are asked to solve the equation with full steps.

Solution :

• [tex]\sf{2 \times \dfrac{4}{9} + 4 \times \dfrac{7}{18} + 5 \times \dfrac{2}{3} }[/tex]

First of all multiplying 2 with 4 , 4 with 7 and 5 with 2 :

• [tex]\sf{\dfrac{8}{9} + \dfrac{28}{18} + \dfrac{10}{3} }[/tex]

Secondly , Taking LCM ( LCM of 9 , 18 and 3 is 18 ) :

• [tex]\sf{ \dfrac{2(8) + 28 + 6(10)}{18} }[/tex]

Simplifying ,

• [tex]\sf{ \dfrac{16 + 28 + 60}{18} }[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

• [tex] \sf{ \cancel{ \dfrac{104}{18} }}[/tex]

Cancelling it with 2 , we get :

• [tex] \underline{\boxed{ \sf{\dfrac{52}{9} }}} \: \: \: \bigstar[/tex]

Therefore, "52/9" is the correct answer.