Question

Write the fraction representing the total number of natural numbers in the collection of numbers -3, -2, -1, 0, 1, 2, 3, 4, 5. What fraction will it be for the whole numbers? What will be the fraction for negative integers? Find the sum of all these fractions?

Answer 1

Sum of fractions
`=(14)/(9)`

Explanation:

Given numbers are
`-3,-2,-1,0,1,2,3,4,5`

To find: fraction of the given numbers that are natural numbers, whole numbers, negative integers and sum of all these fractions

Solution:

Natural numbers are
`1,2,3,4,5`

Fraction of the given numbers that are natural numbers
`=(5)/(9)`

Whole numbers are
`0,1,2,3,4,5`

Fraction of the given numbers that are whole numbers
`=(6)/(9)=(2)/(3)`

Negative integers are
`-3,-2,-1`

Fraction of the given numbers that are negative integers
`=(3)/(9)=(1)/(3)`

Sum of fractions
`=(5)/(9)+(2)/(3)+(1)/(3)=(5+6+3)/(9)=(14)/(9)`