Answer:
[tex]\huge\boxed{b.\ 4\dfrac{1}{12}}[/tex]
Step-by-step explanation:
[tex]1\dfrac{3}{4}\cdot\dfrac{7}{3}[/tex]
convert the mixed number to the improper fraction:
[tex]1\dfrac{3}{4}=\dfrac{1\cdot4+3}{4}=\dfrac{7}{3}[/tex]
multiply:
[tex]=\dfrac{7}{4}\cdot\dfrac{7}{3}=\dfrac{7\cdot7}{3\cdot4}=\dfrac{49}{12}=\dfrac{48+1}{12}=\dfrac{48}{12}+\dfrac{1}{12}=4\dfrac{1}{12}[/tex]