Prove that one of any three consecutive positive integers must be divisible by 3
Write the fraction representing the total number of natural numbers in the collection of numbers −3,−2,−1,0,1,2,3. What fraction will it be for the whole number? What fraction will it be for integers?
Two fractions are given such that their numerators are consecutive integers and their respective denominators are also consecutive integers. If the difference between the fractions is 1 and the difference between the numerator and denominator of each fraction is 2, find the smaller fraction (consider both the fractions to be positive).