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

Answer:

$\dfrac{5}{8}$

Step-by-step explanation:

Alvin takes pictures with his smartphone.

Of the pictures $\frac{5}{6}$ are animals.

$\frac{3}{4}$ of the animals are dogs.

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

$\dfrac{5}{6} \times \dfrac{3}{4} =\dfrac{15}{24} =\dfrac{5}{8}$

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

$\dfrac{5}{6} \times 24=5\times 4=20$

and the number of pictures with dogs is

$\dfrac{3}{4} \times 20=3\times 15$

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

$\dfrac{15}{24}=\dfrac{5}{8}$

Answer 2

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