Final answer:
To express 3 m to 175 cm as a ratio in its lowest terms, convert both measurements to the same unit and find the GCD to simplify the ratio. The simplified ratio is 12 cm to 7 cm.
Step-by-step explanation:
To express 3 m to 175 cm as a ratio in its lowest terms, we need to convert both measurements to the same unit. Since 1 m is equal to 100 cm, we can convert 3 m to cm by multiplying it by 100. This gives us 300 cm. Now we can express the ratio as 300 cm to 175 cm. To simplify the ratio, we need to find the greatest common divisor (GCD) of 300 and 175. The GCD of 300 and 175 is 25. Dividing both 300 and 175 by 25, we get 12 cm to 7 cm. Therefore, the ratio 3 m to 175 cm expressed in its lowest terms is 12 cm to 7 cm.
Learn more about expressing ratios in their lowest terms