Question

Which of the following is equivalent to the ratio 3ab:27ab select all that apply

1:9
9a:81a
a:b
a:3b
2:18
3b:27a
THERE ARE 3 CORRECT ANSWERS!!!!

Answer 1

1:9, 9a:81a and 2:18

Explanation:

We have been given the ratio 3ab:27ab.

We can write the ratio a:b in fraction form as
`(a)/(b)`

So, the given ratio can be written as

`(3ab)/(27ab)`

Now, 27 can be written as 27 =3 × 9

`(3ab)/(3*9ab)`

Now, cancel the common terms in numerator and denominator.

`(1)/(9)`

We can write this in ratio form as 1:9

Now, we'll see the equivalent ratio of 1:9 from the given options.

9a:81a = 1:9

2:18 = 1:9

Therefore, the correct options are

1:9, 9a:81a and 2:18

Answer 2

To determine the equivalent expressions for the given expression which is 3ab:27ab = 1:9 , we can simplify the choices and see whether they are equal with the original.

1:9 = 1:9 EQUAL

9a:81a = 1:9 EQUAL

a:b NOT EQUAL

a:3b NOT EQUAL

2:18 = 1:9 EQUAL

3b:27a = NOT EQUAL