MATHSLEARNING

  Componendo Dividendo Componendo and dividendo is a theorem on proportions that allows for a quick way to perform calculations and reduce the number of expansions needed. It is particularly useful when dealing with equations involving fractions or rational functions in mathematical Olympiads, especially when you see fractions. The theorem is represented by the following formula: a/(b+c) = (a/b) + (a/c). The theorem is named for its two Latin terms: “componendo,” which means “by combining,” and “dividendo,” which means “by dividing.” The theorem can be applied to any type of number, including fractions, decimals, and negative numbers. Componendo Dividendo Rule Proof So, it can be expressed as a : b = c : d and (a + b ) : (a – b) = (c + d) : (c – d). It is true that if the ratio of a to b = c to d, then the ratio of (a + b) to (a – b) is the same as (c + d) to (c – d). This is termed the componendo and dividendo rule. Also get information from insta handle  @ maths_world61 Ques...

 FRACTION  In Mathematics, fractions  are defined as the parts of a whole. The whole can be a number or any specific value or a thing. In other words, it is also termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and lower part is the  denominator . A fraction is a word that is originated from Latin. In Latin, “ Fractus”  means “ broken” . In real life, when we cut a piece of cake from the whole of it, say 1/4th of it, then the portion is the fraction of the cake. Type of Fractions Based on the properties of numerator and denominator, fractions are sub-divided into different types. They are: Proper fractions Improper fractions Mixed fractions Like fractions Unlike fractions Equivalent fractions Proper Fractions The proper fractions are those where the numerator is less than the denominator. For example, 8/9 will be a proper fraction since “nu...