Write the ratio 1280 m:32000 mm in its simplest form.
Question
Write the ratio 1280 m:32000 mm in its simplest form.
Solution
First, we need to convert the units so they are the same. We know that 1 meter is equal to 1000 millimeters. So, we convert 1280 meters to millimeters:
1280 meters * 1000 = 1,280,000 millimeters
Now we can write the ratio in the same units:
1,280,000 mm : 32,000 mm
To simplify this ratio, we find the greatest common divisor (GCD) of the two numbers. The GCD of 1,280,000 and 32,000 is 32,000.
So, we divide both sides of the ratio by the GCD:
1,280,000 mm / 32,000 = 40 32,000 mm / 32,000 = 1
So, the ratio 1280 m : 32000 mm in its simplest form is 40:1.
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