4 : 5. 4 to 5. September 07, can also be written as. Representing Ratios Write the ratio of beavers to flowers

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1 Ratios Is a relationship between numbers of the same kind of... object, colour, person etc. Don't worry here are some EXAMPLES: Lets write the relationship of stars to happy faces to to to 5 can also be written as : 5 Use the colon instead of writing 'to'. It is faster and easier! Representing Ratios Write the ratio of beavers to flowers Write the ratio of pennies to nickels Write the ratio of brushes to snakes Write the ratio of pennies to both nickels and quarters

2 All the ratios that you have just completed are called two-term ratios. You compared two quantities measured in the same units. Lets look at out last example again. How can we compare these coins as a three-term ratio? Write the ratio of cars to birds to skates A three-term ratio compares three quantities measured in the same units. What marbles are represented by the ratio 3:6:1? Drag some of the objects below to represent the ratio 1:2:3 : :

3 All the ratios you have just completed are considered part-to-part ratios. You compared parts of a group to each other. 3: is the part-to-part ratio of yellow circles to red circles. Part-to-Whole Ratio Compares one part of a group to the whole group. :12 is the part-towhole ratio of red circles to total number of circles. Write the ratio of green circles to the whole ratio of circles. Part-to-Whole Ratio as Fractions Part-to-Whole Ratio as Fractions red Total There are red circles out of 12 circles. The ratio can be expressed as :12. A part-to-whole ratio can also be expressed as a fraction. is red Total is 12 Write the fraction as an equivalent fraction in lowest terms. To express a fraction in lowest terms, divide the numerator and the denominator by the same number

4 Ratios can also be written in lowest terms :6:10 written in lowest terms is 2:3:5 How did we get to this lowest term? Explain. Write the following ratios in lowest terms. 3:12 20 Write each ratio using ratio notation. Then, write the ratios in lowest terms. a) Eight blue tiles compared to 2 green tiles b) The classroom has 16 chairs and large tables. Compare chairs to pieces of furniture. 5:7 30:50:70 Fill in the missing number to make each fraction equivalent. Using the pictures to answer the next three questions. a) a) Write the part-to-part ratio. c) b) Write two part-to-whole ratios that correspond to the picture. b) c) Write the ratios in part b) as equivalent fractions in lowest terms.

5 Applying Ratios Lizzy has a recipe for fruit punch that calls for three cans of frozen orange juice concentrate, two cans of raspberry juice concentrate, and one can of lime juice concentrate. For each can of juice concentrate, the directions say to add three cans of water. All the cans are the same size. Lizzy makes one recipe of fruit punch. a) What is the ratio of orange juice to lime juice concentrate? Express the ratio two different ways. b) What is the ratio of lime to orange to raspberry juice concentrate? c) What is the ratio of water of juice concentrate? d) How many cans of punch does the recipe make? e) What is the ratio of orange, raspberry, and lime juice concentrate to total punch?

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