Question

solve.
last winter, the amount of snowfall in aspen was $12\frac{1}{4}$ inches. this year, aspen is only expected to receive one - sixth of that amount. what is the predicted amount of snowfall this year?
answer:
determine the value of the array by writing a multiplication expression and solving.
$\bullet = 8\frac{1}{4}$

Explanation:

First Problem (Snowfall Calculation)

Step1: Convert mixed number to improper fraction

Last year's snowfall is \( 12\frac{1}{4} \) inches. Convert \( 12\frac{1}{4} \) to an improper fraction: \( 12\frac{1}{4}=\frac{12\times4 + 1}{4}=\frac{49}{4} \) inches.

Step2: Multiply by \( \frac{1}{6} \)

This year's snowfall is \( \frac{1}{6} \) of last year's. So we calculate \( \frac{49}{4}\times\frac{1}{6}=\frac{49}{24} \).

Step3: Convert back to mixed number

Convert \( \frac{49}{24} \) to a mixed number: \( \frac{49}{24}=2\frac{1}{24} \) inches.

Step1: Determine the number of dots

Looking at the array, there are 3 rows and 3 columns, so the total number of dots is \( 3\times3 = 9 \).

Step2: Multiply by the value of one dot

Each dot is \( 8\frac{1}{4} \) inches. First, convert \( 8\frac{1}{4} \) to an improper fraction: \( 8\frac{1}{4}=\frac{8\times4+1}{4}=\frac{33}{4} \). Then multiply by 9: \( \frac{33}{4}\times9=\frac{297}{4} \).

Step3: Convert back to mixed number

Convert \( \frac{297}{4} \) to a mixed number: \( \frac{297}{4}=74\frac{1}{4} \).

Answer:

\( 2\frac{1}{24} \) inches

Second Problem (Array Value Calculation)