Answer:
[tex]\large\boxed{3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{3}{10}}[/tex]
Step-by-step explanation:
[tex]\text{Convert the mixed numbers to the improper fractions:}\\\\3\dfrac{3}{4}=\dfrac{(3)(4)+3}{4}=\dfrac{12+3}{4}=\dfrac{15}{4}\\\\12\dfrac{1}{2}=\dfrac{(12)(2)+1}{2}=\dfrac{24+1}{2}=\dfrac{25}{2}\\\\3\dfrac{3}{4}:12\dfrac{1}{2}=\dfrac{15}{4}:\dfrac{25}{2}\\\\\text{To divide a number by a fraction,}\\\text{multiply this number by the reciprocal of that fraction}:\\\\\dfrac{15}{4}\cdot\dfrac{2}{25}=\dfrac{30}{100}=\dfrac{3}{10}[/tex]
