Question

1. the jacobys kept track of the time they spent driving on their trip.

data
driving time
day | hours driving
monday | $5\frac{3}{4}$
tuesday | $4\frac{3}{4}$
wednesday | $2\frac{1}{4}$
thursday | $6\frac{3}{4}$

a. find how many hours the jacobys drove on monday and tuesday. show the method you chose to solve. 4.fr.2.2, 4.ar.1.2

b. find how many hours the jacobys drove in all. explain your work. 4.fr.2.2, 4.ar.1.2

Explanation:

Part A

Step1: Identify values to add

Monday: $5\frac{3}{4}$, Tuesday: $4\frac{3}{4}$

Step2: Add whole numbers first

$5 + 4 = 9$

Step3: Add fractional parts

$\frac{3}{4} + \frac{3}{4} = \frac{6}{4} = 1\frac{1}{2}$

Step4: Sum the two results

$9 + 1\frac{1}{2} = 10\frac{1}{2}$

Part B

Step1: List all driving times

$5\frac{3}{4}, 4\frac{3}{4}, 2\frac{1}{4}, 6\frac{3}{4}$

Step2: Add whole numbers

$5 + 4 + 2 + 6 = 17$

Step3: Add fractional parts

$\frac{3}{4} + \frac{3}{4} + \frac{1}{4} + \frac{3}{4} = \frac{10}{4} = 2\frac{1}{2}$

Step4: Sum the two results

$17 + 2\frac{1}{2} = 19\frac{1}{2}$

Answer:

A. $10\frac{1}{2}$ hours
B. $19\frac{1}{2}$ hours