Tina feeds her birds exactly 1 5/6

Question

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?(1 point)
Responses

15
times

29 1/3
times

25 2/3
times

50 5/12
times

Answer 1

To find the number of times she has given food to the birds, we need to divide the total amount of bird feed she has given (27 1/2 cups) by the amount she feeds them each time (1 5/6 cups).

First, let's convert both the total amount and the amount she feeds them each time to improper fractions.

27 1/2 = 55/2
1 5/6 = 11/6

Now we can divide:

55/2 ÷ 11/6

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

55/2 × 6/11

Simplifying, we get:

(55 × 6) / (2 × 11)
= 330 / 22

Now we can simplify further by dividing both the numerator and denominator by the greatest common divisor (GCD), which is 2:

330 ÷ 2 / 22 ÷ 2
= 165 / 11

So, Tina has given food to the birds 165/11 times.
Converting this improper fraction to a mixed number:

165 ÷ 11 = 15 with a remainder of 0

Therefore, Tina has given food to the birds 15 times.