Answer:
17.) 12
18.) 1/15
Step-by-step explanation:
2 ÷ [tex]\frac{1}{6}[/tex]
This problem is asking how many [tex]\frac{1}{6}[/tex] 's can go into 2 blocks. If you divide one box into 6 parts, each tiny box will be [tex]\frac{1}{6}[/tex] of the whole. Divide the other box into 6 parts as well, and you will get 12 of these [tex]\frac{1}{6}[/tex] parts. Check your answer by multiplying 12 by [tex]\frac{1}{6}[/tex]. The answer is [tex]\frac{12}{6}[/tex] which is also equal to 2.
[tex]\frac{1}{3}[/tex] ÷ 5
For this one, think of it as we have one big box divided into thirds. We want to divide each [tex]\frac{1}{3}[/tex] portion by 5. So you should have 5 tiny boxes in each [tex]\frac{1}{3}[/tex] which gives you a total of 15 boxes. But if we look at it as one big box divided into 15 parts, we know that each of those is [tex]\frac{1}{15}[/tex]. Check your answer by multiplying [tex]\frac{1}{15}[/tex] by 5 and you get [tex]\frac{5}{15}[/tex] which is equal to [tex]\frac{1}{3}[/tex].
Let me know if you have any questions, and good luck!
