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Morgan and Melissa are doing an experiment measuring the distance between trees in the field. Morgan measured the distance from one tree to another at 10 feet, and Melissa measured the distance from a different tree to another at 690 inches.

What is the ratio of the distance Morgan measured to the distance Melissa measured? Convert Morgan's distance to inches first (1 foot = 12 inches), then simplify your answer.

Answer :

Final answer:

After converting Morgan's measurement to inches, we find that the ratio of the distance Morgan measured to the distance of what Melissa measured is 120:690. This can be simplified to a ratio of 4:23 after dividing both numbers by their greatest common divisor.

Explanation:

To answer the question, we first need to convert Morgan's measurement from feet to inches. Given that one foot equals twelve inches, we multiply Morgan's 10 feet by 12 to get 120 inches.

Next, we compare Morgan's measurement in inches (120 inches) with Melissa's measurement, which is already in inches (690 inches). We do this by creating a fraction or a ratio with Morgan's measurement as the numerator (top number) and Melissa's measurement as the denominator (bottom number).

So, the ratio of Morgan's distance to Melissa's distance is 120 inches to 690 inches. We can simplify this ratio by finding the greatest common divisor (GCD) of 120 and 690, which is 30. We divide both numbers by 30 to simplify the ratio, and we get 4 to 23.

Therefore, the simplified ratio of the distance Morgan measured to the distance of what Melissa measured is 4:23.

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