Respuesta :

First, convert 2m into cm by multiplying by 100 so the ratio is now 40:200, then 40 goes into 200 5 times so the ratio is 1:5. Hope that helped!

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 40cm:2m, first we must make all the units consistent.

Converting 2m to centimeters (cm) using the conversion

100cm = 1m

then xcm = 2m

Cross multiplying we have;

100×2 = x× 1

x = 200cm

The ratio becomes 40cm:200cm

Note that ratio of two numbers also means taking their quotient, therefore;

40cm:200cm = 40cm/200cm

= 4/20

= 1/5

The simplified form of the ratio is 1:5