Compare the following pairs of ratios

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Compare the following pairs of ratios

Ratios, in general, are used to compare any two quantities. It is used to show how larger or smaller a quantity is relative to another quantity. These ratios in mathematics are represented using notations like; p:q, a:b, x:y, etc. For example, if a statement says in an institution out of every 14 individuals, 7 of them like to play any type of sports. Thus, the ratio of individuals who like to play any type of sports to the total number of individuals is 7: This further implies that 7 individuals from every 14 like to play a sport in that particular institute. In this article, you will learn how to do the comparison of two ratios with the steps and methods for comparing ratios using LCM and Cross Multiplication which is similar to Equivalent Ratios. We will also practice some questions to understand the topic in a much better way. Terms like ratio , proportion, percentage and fraction are frequently used in mathematics. Whenever there is a situation when we have to compare two numbers or elements, to see how larger or smaller a quantity is with respect to another we use ratios. In comparing the two given ratios we may find out the faster rate of variation or higher magnitude of a quantity per unit other quantity. We often need to compare two ratios like the rate of change of position with time, i. Here the comparison is done between the speed of two bodies to estimate the faster-moving body or the slower-moving body.

There are many such mathematical as well as real-life situations when we come across a comparison of two to more ratios to reach a certain conclusion.

The word ratio means the quantitative relationship of two amounts or numbers. The concept of ratio, proportion , an d variation is very important in math and in day-to-day life. The ratio is written in two ways - as a fraction and using a colon. Comparison of ratios is used when 3 or more quantities are required for comparison. Suppose a ratio is mentioned between friends J and K on the marks scored and another relationship between K and S, by comparing both the ratios we can determine the ratios of all three friends J, K and S. To compare ratios, we need to remember two steps. Let us see what they are.

The word ratio means the quantitative relationship of two amounts or numbers. The concept of ratio, proportion , an d variation is very important in math and in day-to-day life. The ratio is written in two ways - as a fraction and using a colon. Comparison of ratios is used when 3 or more quantities are required for comparison. Suppose a ratio is mentioned between friends J and K on the marks scored and another relationship between K and S, by comparing both the ratios we can determine the ratios of all three friends J, K and S. To compare ratios, we need to remember two steps. Let us see what they are. Step 1 : Make the consequent of both the ratios equal - First, we need to find out the least common multiple LCM of both the consequent in ratios. Finally, multiply both the consequen t and antecedent of both the ratios with the quotient that is obtained previously. Step 2 : Compare the 1 st numbers i.

Compare the following pairs of ratios

Comparing ratios means to determine whether one ratio is less than, greater than, or equal to the other ratio. To compare ratios is to evaluate how two or more ratios relate to one another. A ratio compares two quantities of the same kind. It tells us how much of one quantity is contained in another. It is a comparison of two numbers or amounts a and b, written in the form a : b. For example, if the ratio of water to milk in a recipe is 1 : 2, it means that the quantity of milk will be exactly twice double as compared to the quantity of water. Ratio is the quantitative relationship between two quantities or numbers. In the ratio a : b, the first quantity is called an antecedent and the second quantity is called consequent.

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Talk to a tutor now students are taking LIVE classes. For example, we may use a ratio to compare the number of boys to the number of girls in two different classrooms. Views: 6, Are you ready to take control of your learning? Class 9. Filo tutor solutions 1 Learn from their 1-to-1 discussion with Filo tutors. Step 3: Next, divide LCM by the denominator of each term. Question 4. Solved Example 2: Compare the given ratios 2: 9 and 4: 7 and obtain the bigger one using the cross multiplication method. This further implies that 7 individuals from every 14 like to play a sport in that particular institute. Methods Used to Compare Ratios 3. Thus, the ratio of individuals who like to play any type of sports to the total number of individuals is 7: Factors of Try Numerade free for 7 days View This Answer. Terms like ratio , proportion, percentage and fraction are frequently used in mathematics.

Ratio Comparison Calculator that allows you to compare two or more ratios to see if ratios are the same you can compare up to 10 ratios using this ratio calculator. This ratio calculator also allows you to calculate and compare equivalent ratios to confirm if one ratio is equal to another ratio, you can choose the method of calculation that you prefer, ration comparison can be calculated using either ratio to fraction, ratio to percentage or ratio to decimal. The options are equally accurate but each allows you to see how the two ratios are compared using the different mathematical approaches.

MATH - Sec 8. Question 3. Once step 1 is done, then we move forward to step 2 to find out the comparison between the two ratios. Step 2: Simplify each of the ratios in the simplest form. The approach of cross multiply is also used for comparing ratios and finding the bigger one. Students who ask this question also asked Question 1. Math extra - l… University of Okl… Precalculus and T…. Step 3: The result obtained in the above step can be compared using these three simple points. Solution: Given ratios are 2: 9 and 4: 7. Already have an account? The comparison of the two ratios gives the ratio of the distribution of the chocolates per person.