Question

Please answer this correctly

Answer 1

`\large\boxed{(4)/(5)}`

Explanation:

Find LCD:

LCM of 15, 5 and 3 is 15

15 = (15)(1)

15 = (5)(3)

15 = (3)(5)

`(2)/(5)=(2\cdot3)/(5\cdot3)=(6)/(15)\\\\(2)/(3)=(2\cdot5)/(3\cdot5)=(10)/(15)`

Therefore we have:

`(4)/(15),\ (2)/(5),\ (8)/(15),\ (2)/(3)\to(4)/(15),\ (6)/(15),\ (8)/(15),\ (10)/(15)`

Look at the numerators. The next numerator is created from the previous one by adding the number 2.

Therefore the next fraction is equal to

`(10+2)/(15)=(12)/(15)=(12:3)/(15:3)=(4)/(5)`

Answer 2

4/5

Explanation:

you need to find the common denominator first, being 15.

then you can do 4/15, 6/15, 8/15, 10/15 making the next one 12/15 or simplified 4/5