Question

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

driving time
day\thours driving
monday\t$5\frac{3}{4}$
tuesday\t$4\frac{3}{4}$
wednesday\t$2\frac{1}{4}$
thursday\t$6\frac{3}{4}$
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 the hours for Monday and Tuesday

Monday: $5\frac{3}{4}$ hours, Tuesday: $4\frac{3}{4}$ hours. We need to add these two mixed numbers.

Step2: Add the whole numbers and the fractions separately

Whole numbers: $5 + 4 = 9$
Fractions: $\frac{3}{4}+\frac{3}{4}=\frac{6}{4}=\frac{3}{2}=1\frac{1}{2}$

Step3: Combine the results

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

Step1: List all driving hours

Monday: $5\frac{3}{4}$, Tuesday: $4\frac{3}{4}$, Wednesday: $2\frac{1}{4}$, Thursday: $6\frac{3}{4}$

Step2: Add whole numbers and fractions separately

Whole numbers: $5 + 4 + 2 + 6 = 17$
Fractions: $\frac{3}{4}+\frac{3}{4}+\frac{1}{4}+\frac{3}{4}=\frac{3 + 3 + 1 + 3}{4}=\frac{10}{4}=\frac{5}{2}=2\frac{1}{2}$

Step3: Combine the results

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

Answer:

The Jacobys drove $10\frac{1}{2}$ hours on Monday and Tuesday.

Part B