Write the ratio 600 kg:660000 g in its simplest form.
Question
Write the ratio 600 kg:660000 g in its simplest form.
Solution
First, we need to convert kilograms to grams because the units should be the same when writing a ratio. We know that 1 kilogram is equal to 1000 grams.
So, 600 kg = 600 * 1000 = 600000 grams.
Now, we can write the ratio 600000 grams : 660000 grams.
To simplify this ratio, we find the greatest common divisor (GCD) of 600000 and 660000. The GCD is 60000.
So, divide both numbers by the GCD:
600000 ÷ 60000 = 10 660000 ÷ 60000 = 11
Therefore, the ratio 600 kg : 660000 g in its simplest form is 10:11.
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