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?(1 point)
Responses
15
times
29 1/3
times
25 2/3
times
50 5/12
times
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.
To find out how many times Tina has given food to the birds, we need to divide the total amount of bird feed she has fed by the amount she feeds them each time.
27 1/2 cups ÷ 1 5/6 cups
To divide fractions, we need to convert them to a common denominator. The least common multiple of 6 and 1 is 6.
27 1/2 cups = (27 × 2 + 1) / 2 = 55/2 cups
1 5/6 cups = (1 × 6 + 5) / 6 = 11/6 cups
Now we can divide:
55/2 ÷ 11/6 = (55/2) × (6/11) = (55 × 6) / (2 × 11) = 330/22 = 15
Therefore, Tina has given food to the birds 15 times.
To find out how many times Tina has given food to the birds, we need to divide the total amount of bird feed she has given by the amount she gives each time.
Given:
Amount of bird feed given so far = 27 1/2 cups
Amount of bird feed Tina gives each time = 1 5/6 cups
To convert mixed numbers into improper fractions:
27 1/2 = (2 * 27) + 1/2 = 54/2 + 1/2 = 55/2
Next, we need to divide the total amount of bird feed she has given (55/2) by the amount she gives each time (1 5/6).
To divide fractions, invert (take the reciprocal) of the second fraction and multiply:
55/2 ÷ 11/6 = 55/2 * 6/11
To simplify this multiplication, we can reduce the fractions before multiplying:
55/2 = (5 * 11)/(1 * 2) = 55/2
6/11 = (2 * 3)/(1 * 11) = 6/11
Now we can multiply the fractions:
55/2 * 6/11 = (55 * 6)/(2 * 11) = 330/22
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor (GCD), which is 22:
330/22 = (330/22) ÷ (22/22) = 15/1
Therefore, Tina has given food to the birds 15 times. So, the correct response is:
15 times