Question

What is 2/3 divided 1/6? Explain or show your reasoning?

Answer 1

we have that

2/3 divided 1/6 is equal to

`(2)/(3)\colon(1)/(6)=(2\cdot6)/(1.3)=(12)/(3)=4`

that means

the number 2/3 is 4 times the number 1/6

see the figure below

4/6 and 2/3 are equivalent fractions

because

4/6=2/3

4*3=2*6

12=12 ----> is ok

If you divided 2/3 into 4 equal parts, each part is equal to 1/6

If you divided 2/3 by 1/6, the result is 4 parts