Question

Alvin takes pictures with his smartphone. Of the pictures 5/6 are animals. 3/4 of the animals are dogs. What fraction of the picture are dogs? Solve any way you choose. Explain your thinking.

Answer 1

3/4 of 5/6 are dogs.

When you see the word "of," you should multiply.

3/4 * 5/6 = 15/24

Simplified: 5/8

Answer 2

`(5)/(8)`

Explanation:

Alvin takes pictures with his smartphone.

Of the pictures
`(5)/(6)` are animals.

`(3)/(4)` of the animals are dogs.

To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

`(5)/(6) * (3)/(4) =(15)/(24) =(5)/(8)`

Another way to solve this question:

Let the number of all pictures be 24 (divisible by both 4 and 6).

Then the number of pictures with animals is

`(5)/(6) * 24=5* 4=20`

and the number of pictures with dogs is

`(3)/(4) * 20=3* 15`

Hence, the fraction of pictures with dogs of all pictures is

`(15)/(24)=(5)/(8)`