To find the difference between [tex]\(\frac{3}{5}\)[/tex] of 30 km and [tex]\(\frac{2}{3}\)[/tex] of 30 km, let's break it down into clear steps:
1. Calculate [tex]\(\frac{3}{5}\)[/tex] of 30 km:
[tex]\[
\frac{3}{5} \times 30 \text{ km} = \frac{3 \times 30}{5} \text{ km}
\][/tex]
Performing the multiplication and division:
[tex]\[
\frac{90}{5} \text{ km} = 18 \text{ km}
\][/tex]
So, [tex]\(\frac{3}{5}\)[/tex] of 30 km is 18 km.
2. Calculate [tex]\(\frac{2}{3}\)[/tex] of 30 km:
[tex]\[
\frac{2}{3} \times 30 \text{ km} = \frac{2 \times 30}{3} \text{ km}
\][/tex]
Performing the multiplication and division:
[tex]\[
\frac{60}{3} \text{ km} = 20 \text{ km}
\][/tex]
So, [tex]\(\frac{2}{3}\)[/tex] of 30 km is 20 km.
3. Find the difference between the two calculations:
[tex]\[
18 \text{ km} - 20 \text{ km} = -2 \text{ km}
\][/tex]
So, the difference between [tex]\(\frac{3}{5}\)[/tex] of 30 km and [tex]\(\frac{2}{3}\)[/tex] of 30 km is [tex]\(-2\)[/tex] km.
