Write the following ratio in its simplest form: 80cm : 2m : 0.0004km

1 answer

To simplify the given ratio, we need to convert all the measurements to the same unit.

Given:
80 cm : 2 m : 0.0004 km

To convert cm to m, we divide by 100. Since there are 100 cm in 1 m, 80 cm is equal to 80/100 = 0.8 m.

To convert km to m, we multiply by 1000. Since there are 1000 m in 1 km, 0.0004 km is equal to 0.0004 * 1000 = 0.4 m.

The ratio now becomes:
0.8 m : 2 m : 0.4 m

To simplify this ratio, we divide all the measurements by the greatest common divisor (GCD) which is 0.4 in this case.

0.8 m / 0.4 m : 2 m / 0.4 m : 0.4 m / 0.4 m

Simplifying further, we get:
2 : 5 : 1

Therefore, the simplest form of the given ratio is 2 : 5 : 1.