Equivalent ratios are obtained by multiplying or dividing the two terms of a ratio by the same number. The equivalent ratios are related to each other by the multiplication of a number. The following ratio table gives the relation between the ratio 1:4 and four of its equivalent ratios. Ratio TableĪ ratio table is a list containing the equivalent ratios of any given ratio in a structured manner. An infinite number of equivalent ratios of any given ratio can be found by multiplying the antecedent and the consequent by a positive integer. Here, 20:10 and 2:1 are equivalent ratios. Similarly, when both the terms of the ratio 20:10 are divided by 10, it gives 2:1. For example, when the antecedent and the consequent of the ratio 1:3 are multiplied by 3, we get, (1 × 3) : (3 × 3) or 3: 9. If the antecedent (the first term) and the consequent (the second term) of a given ratio are multiplied or divided by the same number other than zero, it gives an equivalent ratio.
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To simplify a ratio, we use the following steps. Ratios when expressed in their lowest terms are easy to understand and can be simplified in the same way as we simplify fractions. The two terms in the ratio can be simplified and expressed in their lowest form. Therefore, the desired ratio is, (Number of boys: Number of girls), which is 27:23.Ī ratio expresses how much of one quantity is required as compared to another quantity. Total number of boys = Total number of students - Total number of girls Total number of students = 50 Number of girls = 23. Find the ratio of the number of boys to the number of girls. Let us understand this with an example.Įxample: In a class of 50 students, 23 are girls and the remaining are boys. To further simplify a ratio, we follow the same procedure that we use for simplifying a fraction. The fraction form that represents this ratio is a/b.
The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'. We use the ratio formula while comparing the relationship between two numbers or quantities. Therefore, the part to the whole ratio is 5: 10, which means every 5 people from 10 people like to read books. For example, out of every 10 people, 5 of them like to read books. For example, the ratio of boys to girls in a class is 12: 15, whereas, the part-to-whole ratio denotes the relationship between a specific group to a whole. The part-to-part ratio denotes how two distinct entities or groups are related. One is part to part ratio and the other is part to whole ratio. The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
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