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kap26 [50]
3 years ago
6

Alvin takes pictures with his smartphone. Of the pictures 5/6 are animals. 3/4 of the animals are dogs. What fraction of the pic

ture are dogs? Solve any way you choose. Explain your thinking.
Mathematics
2 answers:
ollegr [7]3 years ago
8 0

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}

<u>Another way</u> 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}

alexandr402 [8]3 years ago
8 0

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

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