Equivalent fractions

Equivalent fractions Equivalent means equality. Equivalent fractions are the fractions which when reduced or simplified have the same value. Fractions are a very commonly used numerical representation of numbers. A fraction is number written in p/q form. Where p is the numerator and q is the denominator of the fraction. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Different mathematical operations such as addition, subtraction, multiplication and division can be used to simplify, solve and check for equality for the given fractions. Example 1: Given are two equivalent fractions find the missing value? 5/10 = 1/? Solution: Given are equivalent fractions. To find the missing number the fraction 5/10 needs to be further simplifies. The fraction 5/10 can be written as (5 x 1)/ (2 x 5) Here we have a common number 5 in the numerator and the denominator. Further simplifying: (5 5)/ (10 5) = 1/2. Hence, the missing number is 2 and the equivalent fraction is 1/2. Question: Multiple choice question (Pick the correct option.) What is the fraction 6/12 equivalent to in the following? a) 3/8 b) 2/3 c) 1/2 d) None of these. Correct answer: option c. Explanation: Given is the fraction 6/12. The fraction can be further simplified as follows: The fraction 6/12 can be written as (6 x 1)/ (6 x 2) Here we have a common number 6 in the numerator and the denominator. Further simplifying: (6 6)/ (12 6) = 1/2.