Unit 5 Contents

“We can find a ratio equal to , but with 10 on top,” said Grace. “We can solve it without the table. I just use the pattern I saw.” She solves the problem this way:

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Josh wants to figure out how many cookies Grandma has to bring for him to get 6 cookies. “I just have to do the same thing to the top number as I do to the bottom, like Grace did,” said Josh. He tried to solve the problem this way:

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15. Is Josh's answer reasonable? Explain how you know.
16. Did Josh make a mistake? If so, explain the error he made.

One way to find equivalent ratios is to multiply or divide the numerator and denominator by the same number. For any ratio, there is an unlimited number of equivalent ratios that can be written. The simplest form is the equivalent ratio that has the lowest numerator and denominator. For example, is the simplest form of because has the lowest possible numerator and denominator.

17. Use Grace's method to find two ratios that are equivalent to . Explain how you found them.

Check-In: Questions 18–20

18. Write two other equivalent ratios. Use fraction circle pieces, Grace's method, or division to show or tell how you solve each one.
1. 
2. 
3. 
4.