Question

What is 2/3 divided 1/6 ?

Answer 1

4

Explanation:

(2/3)/(1/6)

Eleminate the denominator by multiplying numerator and denominator with whatever is the reciprocal of the denominator. In this case the denominator is 1/6 so the reciprocal is 6/1 or "just" 6.

So, multiply numerator and denominator by 6. The next three (bold) steps, have been written down for explanatory purposes only, and normally are not nessasary.

(2/3)*6 / (1/6)*6

(2/3)*6 / (6/6)

(2/3)*6 / 1

(2/3)*6

12/3

4

Answer 2

Answer: 4

Explanation:

in order to divide one fraction by another, you must multiply by the reciprocal(the reverse of a certain fraction). the reciprocal of 1/6 is 6/1. so:

`(2)/(3) / (1)/(6)` = multiply by the reciprocal of 1/6

`(2)/(3) * (6)/(1)` = cross out

`(2)/(1) * (2)/(1)` = multiply

`(4)/(1)` = simplify

4