Question

At an animal rescue, 5/6 of the animals are

dogs. Three-fourths of the dogs are puppies.


This model represents the fraction of the animals at
the rescue that are puppies.
What fraction of the animals at the rescue are
puppies?
A. 3/4 B. 3/5 C. 5/8 D. 3/8

Answer 1

C) 5/8

Explanation:

By calculation:

We need to find 3/4 of 5/6. To do this, simply multiply and simplify:

`\frac34 * \frac56=(3 * 5)/(4 * 6)=(15)/(24)=\frac58`

By using the model:

Total number of squares = 6 × 4 = 24

Total number of blue squares = 5 × 3 = 15

Therefore, the fraction of blue square is
`(15)/(24)`

We can simplify this fraction by dividing both the numerator and denominator by 3:

`(15 / 3)/(24 / 3)=\frac58`