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### Course: 6th grade (Eureka Math/EngageNY)>Unit 1

Lesson 1: Topic A: Representing and reasoning about ratios

# Equivalent ratios

One way to identify equivalent ratios is to determine if you can multiply or divide the corresponding parts of the ratio by the same amount. To do this, look at the two ratios and see if there is a common factor that you can use to scale one ratio to the other. If you can scale one ratio to the other by multiplying or dividing every part of the ratio by the same number, then the two ratios are equivalent.

## Want to join the conversation?

• Is finding equivalent ratios basically finding equivalent fractions?
• yes, you can even write ratios as fraction: like 2/3 = 2:3
• Guys, I really need help. I'm not sure how to label this sort of problem, but I think it could be called 'estimating the ratio?' I'm trying to average 76/23. The answer is 4/1. But what process do I use (or way of thinking) in order to average 76/23 out? I never know whether to average to the nearest 10th, 5th, or what. Please let me know. (If this question has been posted in the wrong place, give me a heads up.) Thanks.
• for this you would probably round to the nearest 10th making the ratio 80/20. Then, you would divide by 20: 80 divided by 20 = 4 and 20 divided by 20 = 1
• So do you always multiply by the same number to figure out the ratio?
• Yes, you would need to multiply both sides of the ratio by the same number, for it to be equivalent
• do you all ways have to multiply by 2 ?
• No, it is just that problem. Really it depends on the situation.
• Can a ratio have more than just two numbers?
• Yes, a ratio can have more than two numbers. For example, a ratio can be something like a:c:e=b:d:f. ex) 1:2:3=3:6:9. If, a:c:e=b:d:f, then a/b=c/d=e/f. ex) 1:2:3=3:6:9, therefore 1/3=2/6=3/9.
• does anyone here know the answer to 7 to the 4th power equal i do if you want to answer reply and vote plz i really would like 25 votes plz and thx
• Yes, 7 to the 4th power is equivalent to 2401.
Think of it like this:
7 to the fourth is really 7 x 7 x 7 x 7.
I hope this helped!
Sorry if it's too late!

A delivery service ships items in padded envelopes or in boxes. One delivery includes a padded envelope that weighs 1212 ounces and a box that weighs 55 pounds. You want to write the ratio of the weight of the padded envelope to the weight of the box. You first write the ratio as the fraction 12 ounces/5 pounds. Write the ratio in simplest form.
• You have to convert one or the other with the ratio of 16 oz/1 lb or 1 lb/16 oz. So 55 lbs * 16 oz/lb = 880 oz, ratio would be 1212/880, divide by 4 to get 303/220. If you did 1212 *1/16, you get 75.75, then 75.75/55, multiply by 100 to get 7575/5500, divide by 25 to get 303/220. 220 = 10*22 = 5*2*2*11, and 303 is not divisible by any of these.
(1 vote)
• `are these needed?` i feel like these are not