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the length of a road on a map is 2cm. the real length of the same road is 500m. what is the ratio of the length of the road on the map to the real length of the road. give your answer in its simplest form

2 Answers

4 votes

Final answer:

The ratio of the length of the road on the map to the real length of the road is 1cm to 250m.

Step-by-step explanation:

To find the ratio of the length of the road on the map to the real length of the road, we need to convert the units to be consistent. Given that the length of the road on the map is 2cm and the real length is 500m, we can set up the ratio as follows:

2cm / 500m

To simplify this ratio, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 2 and 500, which is 2. Dividing by 2 gives us:

1cm / 250m

Therefore, the ratio of the length of the road on the map to the real length of the road is 1cm to 250m.

User Pankajt
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7.2k points
0 votes

Answer: 1cm/25,000cm

Step-by-step explanation:

The length on the map is 2cm and the real length is 500m.

convert the units

Since there are 100 cm in 1 m, we can convert 500m to cm by multiplying it by 100.
500m * 100 = 50,000cm.

So, the ratio is 2cm/50,000cm.

To simplify this ratio, we can divide both the numerator and the denominator by their greatest common divisor. the greatest common divisor of 2 and 50,000 is 2.

Dividing both by 2, we get 1cm/25,000cm.

User Vygintas B
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8.1k points