Question

35
last week jerry worked at burgers - to - go
8\frac{1}{2} hours on saturday, 4\frac{1}{4} hours on tuesday,
and 3\frac{3}{4} hours on thursday. what was the
total number of hours jerry worked?
\\(\boldsymbol{\text{a}}\\) \\(17\frac{1}{4}\text{hr}\\)
\\(\boldsymbol{\text{b}}\\) \\(16\frac{1}{2}\text{hr}\\)
\\(\boldsymbol{\text{c}}\\) \\(15\frac{1}{2}\text{hr}\\)
\\(\boldsymbol{\text{d}}\\) \\(14\frac{3}{4}\text{hr}\\)

Explanation:

Step1: Convert to improper fractions

$8\frac{1}{2} = \frac{17}{2}$, $4\frac{1}{4} = \frac{17}{4}$, $3\frac{3}{4} = \frac{15}{4}$

Step2: Find common denominator

$\frac{17}{2} = \frac{34}{4}$

Step3: Sum all fractions

$\frac{34}{4} + \frac{17}{4} + \frac{15}{4} = \frac{34+17+15}{4} = \frac{66}{4}$

Step4: Simplify the result

$\frac{66}{4} = 16\frac{2}{4} = 16\frac{1}{2}$

Answer:

B. $16\frac{1}{2}$ hr