Question

What is 12 divided by 3/4?

Answer 1

12 ÷ 3/4:

First, there are many ways to divide a whole number by a fraction. In my way, I take acknowledgment to the rules. There are other ways to do this, like the reciprocal way. To first get started, I'm going to give you the rule which is: (a ÷ b/c = a × c/b). We can now replace our numbers in the variables place.
$12 \times \frac{4}{3}$

Second, we can simplify. To do so, (12 × 4 = 48). 48 is our new numerator while we keep the denominator we started out with (3). 
$\frac{48}{3}$

Third, this is where long division comes in handy. I can't exactly do it on a website, but I am going to try. It is best if done on a piece of paper.

$\Mydiv3{% \strut# \kern.25em\smash{\raise.3ex\hbox{ \big) }} \mkern-8mu \overline{\enspace\strut#48} } \\ \sf Multiply \ 4 \div \ 3 =1 \ (remainder \ 1) \\ \sf Bring \ down \ 8 \\ \sf 18 \div 3 = 6 \\ \sf 48 \div 3 = 16$

Answer: $\fbox {16}$