Question

1. last week, freddy worked the following hours:

day of week	number of hours worked
tuesday	$3$
wednesday	$2$
thursday	$2\frac{1}{4}$
friday	$4$

what is the total number of hours that freddy worked last week?

• $15\frac{3}{4}$ hours
• $14\frac{3}{4}$ hours
• $14\frac{2}{6}$ hours
• $14\frac{1}{8}$ hours

Explanation:

Step1: Convert mixed numbers to improper fractions or decimals (we'll use fractions with common denominators).

First, rewrite each time:

• Monday: $3\frac{1}{2} = \frac{7}{2} = \frac{14}{4}$
• Tuesday: $3 = \frac{12}{4}$
• Wednesday: $2 = \frac{8}{4}$
• Thursday: $2\frac{1}{4} = \frac{9}{4}$
• Friday: $4 = \frac{16}{4}$

Step2: Add all the fractions together.

Now sum them: $\frac{14}{4} + \frac{12}{4} + \frac{8}{4} + \frac{9}{4} + \frac{16}{4}$
Combine numerators: $14 + 12 + 8 + 9 + 16 = 59$
So total is $\frac{59}{4}$

Step3: Convert back to mixed number.

$\frac{59}{4} = 14\frac{3}{4}$ (since $14 \times 4 = 56$, $59 - 56 = 3$)

Answer:

$14\frac{3}{4}$ hours (corresponding to the option "14$\frac{3}{4}$ hours")