Question

How do i solve 4/9+5/6

Answer 1

Hello!

Answer: =23/18. *The answer must be have a fractions.

Explanation:

Add the numbers and fractions.

8/18+15/18

When the denominator are equal, and it's going to be combine by the fractions.

8+15/18

15+8=23

=23/18

Hope this helps!

Thanks!

Have a great day!

-Charlie

Answer 2

We must find the common denominator.

It's LCM of 9 and 6.

Multiples of 6: 0, 6, 12, 18, 24, ...

Multiples of 9: 0, 9, 18, 27, ...

LCM(6, 9) = 18

18 = 3 · 6

18 = 2 · 9

`(4)/(9)=(4\cdot2)/(9\cdot2)=(8)/(18)\\\\(5)/(6)=(5\cdot3)/(6\cdot3)=(15)/(18)\\\\(4)/(9)+(5)/(6)=(8)/(18)+(15)/(18)=(8+15)/(18)=(23)/(18)=(18+5)/(18)=1(5)/(18)`

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Other method:

`(4)/(9)+(5)/(6)=(4\cdot6)/(9\cdot6)+(5\cdot9)/(6\cdot9)=(24)/(54)+(45)/(54)=(24+45)/(54)=(69)/(54)=(54+15)/(54)\\\\=1(15)/(54)=1(15:3)/(54:3)=1(5)/(18)`