Question

Multiplying Fractions by Whole Numbers to Solve Multistep Problems - Item 20128Question / OTYour round-trip drive to school is 3 7/10 miles. How many miles do you drive to and fromschool in 5 days?A 6 1/2 B 8 7/10 C 15 7/10 D 18 1/2

Answer 1

D 18 1/2

1) Since 3 7/10 miles is a mixed number let's turn it into an improper fraction, to make our calculations easier:

`3(7)/(10)=(10*3+7)/(10)=(37)/(10)`

2) So, setting a proportion:

37/10 ---------------------1 day

x ----------------------5 days

Cross multiplying:

`\begin{gathered} x=5\cdot(37)/(10) \\ x=(37)/(2) \end{gathered}`

So the improper fraction is 37/10 in 5 days. As the question requests in Mixed Number, then

37 /2 =18.5

18.5 = 18 + 0.5 Rewriting 0.5 into fractions 1/2

18.5 = 18 1/2

3) Hence, the answer is 18 1/2