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Express each ratio as a fraction in simplest form .3km to 500m

2 Answers

8 votes

Final answer:

The ratio of 0.3 km to 500 m expressed as a fraction in simplest form is 3/5 after converting 0.3 km to meters and simplifying the resulting fraction.

Step-by-step explanation:

To express the ratio of 0.3 km to 500 m as a fraction in simplest form, we need to ensure that both quantities are in the same unit. We can either convert 0.3 km to meters or 500 m to kilometers. It's more straightforward to convert kilometers to meters. Since there are 1000 meters in 1 kilometer, we convert 0.3 km to meters by multiplying 0.3 by 1000.

0.3 km = 0.3 × 1000 m = 300 m

Now we have the ratio 300 m to 500 m, which can also be written as:

300 m / 500 m

To simplify this ratio as a fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 100. This gives us:

300 / 100 / (500 / 100) = 3 / 5

So, the ratio in simplest form is 3/5.

User Aaron Oommen
by
6.1k points
9 votes
0.3km=300m
300m:500m
(/100)
3:5
3+5=8
0.3km= 3/8
500m= 5/8
User Vlox
by
6.5k points