How to Learn Ratios Easily

TL;DR

This video provides three tips and tricks for working with ratios, including dividing amounts into a given ratio, simplifying ratios, and comparing multiple ratios.

Transcript

good day welcome to techmath channel I'm Josh in this video we're going to be looking at three ratios tips and tricks well let's go now we're going to start out nice and easy this is not so much of a trick more of a tip an example something like this where we're dividing an amount into a given ratio so divide $32 into a ratio of 7 is to one now thi... Read More

Key Insights

• 🥳 Dividing an amount into a given ratio involves determining the total number of parts and distributing the amount based on the ratio.
• 🥳 When finding a ratio between two related ratios, multiplying the corresponding values of each ratio provides the desired ratio.
• 🥳 Comparing three ratios requires multiplying the corresponding values from each ratio while maintaining the pattern of multiplication.
• 🥳 Checking the accuracy of calculations can be done by summing the products obtained from multiplying the ratios.
• 🎆 Understanding the principles and patterns involved in ratios simplifies the process of working with them.
• 🥳 Ratios help distribute resources, determine proportions, and compare different amounts or quantities.
• 🥳 Memorizing certain multiplication patterns for ratios can make solving ratio problems more efficient.

Questions & Answers

Q: How do you divide an amount into a given ratio?

To divide an amount into a given ratio, determine the total number of parts, divide the amount by the number of parts, and multiply the resulting amount by each part of the ratio. This ensures each person receives their designated portion.

Q: How can you find a ratio when given two related ratios?

To find a ratio when given two related ratios, multiply the corresponding values of each ratio. This allows for a direct comparison between the two ratios and provides the desired ratio.

Q: What is the process for comparing three ratios?

When comparing three ratios, multiply the corresponding values in each ratio while maintaining the pattern of multiplication. Start with the first value of each ratio, then proceed with the second value, and so on. This method ensures a comprehensive comparison across all three ratios.

Q: Is there a way to check if the calculations are correct?

Yes, to check if the calculations are correct, simply add up the individual products from multiplying the ratios. The sum should equal the original amount that was divided or the last value in the ratio being compared.

Summary & Key Takeaways

• Tip 1: Dividing an amount into a given ratio involves determining the total number of parts, dividing the amount by the number of parts, and multiplying the resulting amount by each part of the ratio.

• Tip 2: To find a ratio when given two related ratios, multiply the corresponding values of each ratio to obtain the desired ratio.

• Tip 3: When comparing three ratios, multiply the corresponding values in each ratio to find the desired ratio, ensuring to maintain the pattern of multiplication.