Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 674: 33

$6$

Given : $\frac{3t+12}{5t} \div \frac{t+4}{10t}$ This becomes : $\frac{3t+12}{5t} \times \frac{10t}{t+4}$ $= \frac{3(t+4)}{5t} \times \frac{2(5t)}{(t+4)}$ $=3 \times 2=6$ (After dividing out the common factors $(t+4)$ and $5t$)