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Find the difference between [tex]\frac{3}{5}[/tex] of 30 km and [tex]\frac{2}{3}[/tex] of 30 km.

Sagot :

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.