Question

1. lucy feeds $2\frac{3}{4}$ cups of puppy food to each of her 3 puppies every day. how many cups of food does she need to feed her puppies for 1 day? 5.ar.1.2

a $5\frac{3}{4}$ cups
c $40\frac{1}{4}$ cups
b $8\frac{1}{4}$ cups
d $57\frac{3}{4}$ cups

Explanation:

Step1: Convert mixed number to improper fraction

The amount of food per puppy is \(2\frac{3}{4}\) cups. To convert this mixed number to an improper fraction, we use the formula \(a\frac{b}{c}=\frac{a\times c + b}{c}\). So, \(2\frac{3}{4}=\frac{2\times4 + 3}{4}=\frac{8 + 3}{4}=\frac{11}{4}\).

Step2: Multiply by the number of puppies

There are 3 puppies, so we multiply the amount per puppy by 3: \(\frac{11}{4}\times3=\frac{33}{4}\).

Step3: Convert back to mixed number

To convert \(\frac{33}{4}\) to a mixed number, we divide 33 by 4: \(33\div4 = 8\) with a remainder of 1. So, \(\frac{33}{4}=8\frac{1}{4}\).

Answer:

B. \(8\frac{1}{4}\) cups