Question

Express the following ratio in the simplest form: $0.5km:200m$.

Answer 1

Step 1: Convert $km$ into $m$

Because, $m$ is the smaller unit than $km$.

$0.5km=0.5\times 1000=500m$ $(1km=1000m)$

Step 2: Convert the ratio in fraction

$500m:200m=\frac{500}{200}$

Step 3: Divide the numerator and the denominator by 100

Because, the Highest Common Factor of 500 and 200 is 100.

$\frac{500÷100}{200÷100}=\frac{5}{2}=5:2$

Hence ,the simplest form of $0.5km:200m$ is $5:2$.