What is the value of 1/2 divided by 3 1/6?

Hi there!

To divide fractions, first we need to make sure they are both fractions, even if they are improper. This would leave us with 1/2 and 19/6. Next, we need to get both fractions to have a common denominator. The easiest way to do this is by multiplying both the top and bottom of the fraction 1/2 by 3. This gives us 3/6. Then we have our expression, 3/6 / 19/6. Now, we need to find the reciprocal of the last fraction, 19/6. To find the reciprocal means to flip the fraction upside down. This leaves us with 6/19. Since the fraction has been flipped, now all we need to do is multiply the fractions together straight across and simplify!

WORK: 
3/6 * 6/19
18/114
9/57
3/19

ANSWER:
The value of 1/2 divided by 3 1/6 is 3/19

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