How much snow fell in Denver if it received approximately three times as much as the New York City area, which received 27 3/4 inches?

How much snow fell in Denver if it received approximately three times as much as the New York City area, which received 27 3/4 inches?

• A. 60 inches
• B. 83 1/4 inches
• C. 75 inches
• D. 88 inches

Answer: (B)

To determine the amount of snow that fell in Denver, start with the amount of snow that fell in New York City, which is given as 27 3/4 inches. This can be converted to an improper fraction for easier calculation: 27 3/4 can be expressed as \( \frac{111}{4} \) inches. Next, to find out how much snow fell in Denver, you need to calculate three times the amount of snow in New York City. This is done by multiplying the improper fraction by 3: \[ 3 \times \frac{111}{4} = \frac{333}{4} \] Now, convert \( \frac{333}{4} \) back to a mixed number. Dividing 333 by 4 gives 83 with a remainder of 1, so: \[ \frac{333}{4} = 83 \frac{1}{4} \text{ inches} \] This means that Denver received approximately 83 1/4 inches of snow. Thus, the correct answer matches option B, which is 83 1/4 inches. Understanding the process of converting mixed numbers to improper fractions and performing multiplication is crucial for solving similar problems

To determine the amount of snow that fell in Denver, start with the amount of snow that fell in New York City, which is given as 27 3/4 inches. This can be converted to an improper fraction for easier calculation: 27 3/4 can be expressed as ( \frac{111}{4} ) inches.

Next, to find out how much snow fell in Denver, you need to calculate three times the amount of snow in New York City. This is done by multiplying the improper fraction by 3:

[

3 \times \frac{111}{4} = \frac{333}{4}

]

Now, convert ( \frac{333}{4} ) back to a mixed number. Dividing 333 by 4 gives 83 with a remainder of 1, so:

[

\frac{333}{4} = 83 \frac{1}{4} \text{ inches}

]

This means that Denver received approximately 83 1/4 inches of snow. Thus, the correct answer matches option B, which is 83 1/4 inches. Understanding the process of converting mixed numbers to improper fractions and performing multiplication is crucial for solving similar problems