Comparison of Ratios | Top Q&A
Compare ratio The word ratio means the quantitative relationship of two quantities or numbers. The concept of ratio, proportion, and variation is important in mathematics and in everyday life. Ratios are written in two ways – as a fraction and using a colon. Example – 2: 3 or 2/3. Proportional comparison is used when 3 or more quantities are needed for comparison. Assuming a ratio is mentioned between friends J and K on points scored and another relationship between K and S, by comparing both ratios we can determine the ratio of both three friends J, K and S. To compare ratios, we need to remember two steps. Let us see what they are. 1. How do the ratios compare? 2. Methods used to compare ratios 3. Solved examples 4. Practice questions 5. Comparison of ratios FAQ There are two steps to remember when comparing ratios number. They are as follows: Read: how ratios compareStep 1: Make the consequences of both proportional – First, we need to find the least common multiple (LCM) of both consequences in the ratio. Once the LCM is determined, divide the LCM by both the result of the ratio. Finally, multiply both the consequence and the prepayment of both by the previously obtained quotient.Step 2: Compare the first numbers i.e. prepayments of both ratios with each other. Once step 1 is done, we move on to step 2 to find a comparison between the two ratios.For example, compare the ratios of the given quantities 2:6 and 5:4. Which ratio is greater? Read more: How to find broken mods in sim 4Solution: First find the LCM of both consequences in the ratios i.e. 6 and 4. The LCM of 6 and 4 is 12 Once the LCM is determined, divide it by both numbers i.e. 12 ÷ 6 = 2 and 12 4 = 3 So (2 x 2) 🙁 6 x 2) = 4 and 12 (5 x 3) 🙁 4 x 3) = 15 and 12 Since 15 > 4, the ratio 5:4 is large more than 2:6. Comparison of ratios can be done by two different and simple methods. Show us both methods below:
LCM . ratio comparison method
Read more: How to cut watermelon into triangles This method consists of 2 steps, we first find the LCM of the consequence, divide it by the consequence, and then multiply the obtained quotient by the ratios.
Compare proportions by cross-multiplication
The second method is in which we multiply the prior of the first rate by the consequence of the second and the result of the first by the proximate of the second. Example – 8:9 and 7:8 in this method we multiply the numbers. 8 x 8 and 9 x 7.
Rate comparison Related topics
Check out these interesting articles for more on comparing ratios and their related topics.
- Ratio
- Percent
- Fraction
- Least common multiple
Important pointRead more: how to block Windows 10 Fall Creators update
- Remembering two steps while comparing ratios is necessary.
- The method of comparing ratios is very simple and is used all the time.
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