Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
1. Multiplying Fractions
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Exercise 68 Page 52

Practice makes perfect
We are told that 925 of the 150 people surveyed own a dog, and 16 of those people also own a cat. We want to find what portion of people own both a dog and a cat. We can find this information by multiplying 16 and 925. Let's do it! 1/6 * 925 When we multiply fractions, remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!
1/6 * 9/25
1* 9/6* 25
9/150
9÷ 3/150÷ 3
3/50
This means that 350 of the people surveyed own both a dog and a cat.
We surveyed 150 people. We want to find how many people own a dog but not a cat. Let's start by finding how many people own a dog. We can do that by multiplying 150 by 925. 150 * 9/25 Let's multiply!
150 * 9/25
150/1 * 9/25
150* 9/1* 25
1350/25
54
We found that 54 people who own a dog. In Part A we found that 350 of people surveyed own both a dog and a cat. Now we can find how many people own bowh a dog and a cat by multiplying 150 by 350. 150 * 3/50 Let's multiply!
150 * 3/50
150/1 * 3/50
150* 3/1* 50
450/50
9
There are 9 people who own both a dog and a cat. Now let's subtract the number of people who own a cat and a dog from the number of people who own only a dog. 54-9=45 We found that 45 people own a dog but not a cat!