how much longer, in inches, is the longest branch than the shortest branch? length of branches 1 2 1 1/4 2 3/4

Explanation:

Step1: Identify the longest branch length

The longest branch length is $3\frac{1}{2}$ inches.

Step2: Identify the shortest branch length

The shortest branch length is $2\frac{1}{4}$ inches.

Step3: Calculate the difference

$3\frac{1}{2}-2\frac{1}{4}=\frac{7}{2}-\frac{9}{4}=\frac{14 - 9}{4}=\frac{5}{4}=1\frac{1}{4}$ inches.

Answer:

$1\frac{1}{4}$