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

Respuesta :

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:

[tex]3\frac{7}{10}=\frac{10\times3+7}{10}=\frac{37}{10}[/tex]

2) So, setting a proportion:

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

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

Cross multiplying:

[tex]\begin{gathered} x=5\cdot\frac{37}{10} \\ x=\frac{37}{2} \end{gathered}[/tex]

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

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