9514 1404 393
Answer:
2. 3/2
3. 2
4. 9/8
5. 6
Step-by-step explanation:
The usual procedure is to invert the denominator and multiply. Here, you're asked to cancel common factors before you do the multiplication.
[tex]\textbf{2. }\dfrac{9}{10}\div\dfrac{3}{5}=\dfrac{9}{10}\times\dfrac{5}{3}=\dfrac{3\cdot3\cdot5}{2\cdot5\cdot3}=\boxed{\dfrac{3}{2}}\\\\\textbf{3. }\dfrac{2}{3}\div\dfrac{2}{6}=\dfrac{2}{3}\times\dfrac{6}{2}=\dfrac{2\cdot3\cdot2}{3\cdot2}=\boxed{2}\\\\\textbf{4. }\dfrac{3}{4}\div\dfrac{2}{3}=\dfrac{3}{4}\times\dfrac{3}{2}=\dfrac{3\cdot3}{4\cdot2}=\boxed{\dfrac{9}{8}}\\\\\textbf{5. }\dfrac{2}{1}\div\dfrac{1}{3}=\dfrac{2}{1}\times\dfrac{3}{1}=\dfrac{2\cdot3}{1\cdot1}=\boxed{6}[/tex]
