Respuesta :

We need to solve the following math problem,

[tex]1\frac{3}{4}*2[/tex]

Step #1. Convert mixed numbers into improper fractions

[tex]a\frac{b}{c}=\frac{a*c+b}{c}[/tex][tex]1\frac{3}{4}=\frac{1*4+3}{4}=\frac{7}{4}[/tex]

Step #2. multiply 7/4 * 2

[tex]\frac{7}{4}*2=\frac{7}{4}*\frac{2}{1}=\frac{7*2}{4*1}=\frac{14}{4}[/tex]

Step #3. Simplify

[tex]\frac{7*2}{2*2}=\frac{7}{2}[/tex]

Step #4. Convert back to mixed number

[tex]\frac{7}{2}=3\quad\mathrm{Remainder}\quad\:1[/tex]

then,

[tex]\begin{gathered} =quotient\frac{remainder}{divisor} \\ \\ \frac{7}{2}=3\frac{1}{2} \end{gathered}[/tex]

Answer: 3 1/2 or option b.

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