## Faman39 3 years ago Two lines are related by the scale 4 centimeters5 decimeters. How many times larger is the larger line? 1.25 12.5 125 1,250

1. LukeBlueFive

1 decimeter = 10 centimeters So: 5 decimeters = 50 centimeters

2. Faman39

So how will i do this?

3. LukeBlueFive

To find the ratio of how much longer something is than something else, you divide it. For example: $\frac{100ft}{10ft} = 10$ Which means that something 100 feet long is 10 times longer than something 10 feet long.

4. Faman39

Are we have to divide 4/5

5. LukeBlueFive

Well, you can only divide values with like terms, and centimeters ≠ decimeters. Also, to avoid confusion, put the larger number on top when dividing.

6. Faman39

got 1

7. LukeBlueFive

8. Faman39

no you told to divide 5/4

9. Faman39

isnt tht u mean ?

10. LukeBlueFive

Well, if you divide: $\frac{5 decimeters}{4centimeters}$ You'll get the ratio of 5 decimeters to 4 centimeters, which isn't what the problem's asking for. It wants to know their relative distances, so you need to change 5 decimeters into the equivalent number of centimeters, using the following equation: $x centimeters = 10xdecimeters$ Or, in other words, there are 10 centimeters in every decimeter.

11. LukeBlueFive

Sorry, the equation is actually: $centimeters = 10x decimeters$ Where x is the number of decimeters

12. Faman39

40?

13. Faman39

50 /40 1. 25

14. LukeBlueFive

Close. Leave the bottom number as 4, since it's already in centimeters.

15. Faman39

12.5, thank you sooooooooooooooooooooo much!!!!!!!!! your terrifically great!!!!!!!!!!!!!

16. LukeBlueFive

No problem, just glad it all worked out in the end.

17. Faman39

Sorry, for me you had to take too pressure, i am extremely sorry for troubling

18. LukeBlueFive

It's fine, really.

19. Faman39

:) thank you