Write the ratio 4000 cm:30 m in its simplest form.
Question
Write the ratio 4000 cm:30 m in its simplest form.
Solution
Step 1: Convert the units so they are the same. In this case, we'll convert meters to centimeters because 1 meter = 100 centimeters.
So, 30 meters = 30 * 100 = 3000 centimeters.
Step 2: Now that the units are the same, we can write the ratio as 4000 cm : 3000 cm.
Step 3: Simplify the ratio by finding the greatest common divisor (GCD) of 4000 and 3000. The GCD of 4000 and 3000 is 1000.
So, divide both numbers by 1000.
4000 ÷ 1000 = 4 3000 ÷ 1000 = 3
Step 4: Write the simplified ratio. So, the ratio 4000 cm : 30 m in its simplest form is 4:3.
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