Simplify the following ratios:
200 cm to 3m
Make the units to be the same.
1 m = 100 cm then,
3 m= 3 X 100 = 300 cm
= 200 cm to 300 cm
=200/300
= 2:3
Juma walked 100 m, Hajj walked 2 km and Ali walked 100000 cm. Calculate the ratio of distance walked by Juma, Hajj and Ali.
Solution
Juma – 100 m, Hajj – 2 km, Ali – 100 000 cm
Change all the distances into the same unit
If 1 km = 1 000 m
2 km = 2 X 1 000
Hajj walked 2 000 m
100 cm = 1m
100 000 cm = 1 000 m
Juma – 100m Hajj – 2 000m Ali – 1 000m
The ratio of Juma, Hajj and Ali become 100 : 2 000 : 1 000
Simplifying we get, 1:20:10
Note: Hajj walked the longest distance followed by Ali and Juma walked the shortest distance.
You can compare two quantities by using a ratio.
A common way to express a ratio is as a fraction in simplest form.
If the two quantities you are comparing have different units of measure,
this kind of ratio is called a rate.
A rate is in the form of a unit rate when the denominator is 1.
