tina feeds her birds exactly 1 5/6 small measuring cups of bird feed each time she feeds them. if she has fed them exactly 27 1/2 cups so far, how many times has she given food to the birds?

15 times
29 1/3 times
25 2/3 times
50 5/12 times

1 answer

To find the number of times Tina has fed the birds, we need to divide the total amount of bird feed she has given by the amount she gives each time.

1 5/6 cups of bird feed is the same as 11/6 cups.

So, the number of times Tina has fed the birds is 27 1/2 / 11/6

To divide fractions, we need to multiply by the reciprocal of the divisor.

27 1/2 / 11/6 = 27 1/2 * 6/11

To multiply mixed numbers, we multiply the whole numbers together, then multiply the fractions separately, and add the two results.

27 * 6 = 162

1/2 * 6/11 = 6/22 = 3/11

Adding the two results together, we get 162 + 3/11

To add mixed numbers, we need to convert them to improper fractions.

162 = 162/1

162/1 + 3/11 = ((162 * 11) + 3) / 11 = 1785/11

The final result is 1785/11, which is a mixed number of 162 3/11.

Therefore, Tina has given food to the birds 162 3/11 times.

This is approximately equal to 162.27 times.

Therefore, the closest option is 162.27, or 25 2/3 times.