★ Must-know
📌 An equivalent ratio is created by multiplying or dividing both numbers by the same non-zero number.
Further detail
Same comparison, same multiplier
📐 Formula — The multiplier equals the new number divided by the original number.
🔄 Process — To find a missing number in an equivalent ratio, match corresponding numbers, divide the new number by the original number to find the multiplier, and apply that multiplier to the other term.
Match, divide, repeat
1. Which pair of ratios are equivalent ratios that show the same comparison?
2. How can you create an equivalent ratio from a given ratio?
3. To find a missing number in an equivalent ratio like 4:7 = 20:□, what is the correct first step for identifying the multiplier?
What are equivalent ratios?
Different ratios showing the same comparison.
How is an equivalent ratio created?
By multiplying or dividing both numbers by the same non-zero number.
Why are 2:3, 4:6, and 6:9 equivalent ratios?
Because each is formed by applying the same multiplier to both terms.
What is the first step to find a missing number in an equivalent ratio?
Match corresponding numbers in the ratios.
How do you find the multiplier when finding a missing ratio number?
Divide the new number by the original number.
What do you do after finding the multiplier in an equivalent ratio?
Apply the multiplier to the other term to find the missing number.
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