Question

3 3/4 divided by 12 1/2

Answer 1

`\large\boxed{3(3)/(4):12(1)/(2)=(3)/(10)}`

Explanation:

`\text{Convert the mixed numbers to the improper fractions:}\\\\3(3)/(4)=((3)(4)+3)/(4)=(12+3)/(4)=(15)/(4)\\\\12(1)/(2)=((12)(2)+1)/(2)=(24+1)/(2)=(25)/(2)\\\\3(3)/(4):12(1)/(2)=(15)/(4):(25)/(2)\\\\\text{To divide a number by a fraction,}\\\text{multiply this number by the reciprocal of that fraction}:\\\\(15)/(4)\cdot(2)/(25)=(30)/(100)=(3)/(10)`