Question

Use the number line to find the ratio AC/CF simplify the ratio

A. 8/20
B 2/5
C 8/12
D 2/3

Answer 1

the answer is B. 2/5
it would originally be 8/20 but simplified it 2/5

Answer 2

The correct option is D.

Explanation:

From the given number line it is clear that A=0, B=2, C=8, D=14, F=20 and G=22.

The length of line segment AC is

`AC=C-A=8-0=8`

The length of line segment CF is

`CF=F-C=20-8=12`

The ratio of line segment AC to CF is

`(AC)/(CF)=(8)/(12)`

Cancel out the common factors.

`(AC)/(CF)=(2)/(3)`

The simplified ratio of
`(AC)/(CF)` is 2/3.

Therefore the correct option is D.