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Identifying and Writing Proportions. Objective: Learn to find equivalent ratios and identify proportions. Ratio Recap. A ratio is a comparison of two quantities(numbers) using division. Try This!. What is the ratio of shaded squares to unshaded squares? box 1 box 2.
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Identifying and Writing Proportions Objective: Learn to find equivalent ratios and identify proportions.
Ratio Recap A ratio is a comparison of two quantities(numbers) using division
Try This! What is the ratio of shaded squares to unshaded squares? box 1 box 2 These 2 ratios are called equivalent ratios GCF of 20 and 28
Equivalent Ratios • What are Equivalent Ratios? Equivalent ratios are ratios that make the same comparison • Examples: These equivalent ratios are proportional. Multiply by any number
Proportional • What is a Proportional or in Proportion? Proportions are equivalent ratios that are identical when in simplest form. • Examples:
Try This! Determine whether the ratios are proportional. • . • . Already reduced Simplify
Try These! Divide both the numerator and the denominator by a common factor Write the proportion Multiply both the numerator and the denominator by any number Write the proportion
Example 1: Determine whether the ratios are proportional.
Example 2: Directions for making 12 servings of rice call for 3 cups of rice and 6 cups of water. For 40 servings it calls for 10 cups of rice and 19 cups of water. Are the ratios of rice to water proportional for both servings of rice.
Example 3: Find an equivalent ratio. Then write the proportion.