This article is about whole set fraction. Whole set fraction is nothing but it is about the set of fractions. A fraction is a number that can be represented by an ordered pair of whole numbers `a/b` where `b!= 0`. Here a is represented as numerator and b as denominator. The tutors in tutor vista are always ready to help the students in any topics like whole set fraction. The online tutors help students in online. Tutor vista is the best tutoring website where many students follow this. Below we can see about the whole set of fraction.
whole set fractions
In set notation, the set of fractions is
F ={ `a/b` where a and b are whole numbers, b` !=` 0 }
Two fractions that represent the same relative amount are termed to be equivalent fractions.
Proper Fraction:
When the numerator is less than the denominator then those fractions are called as Proper fraction.
Example: `2/3 `
Improper fraction:
When the numerator is greater than the denominator then this fraction is called as Improper fraction
Example: `7/5`
All the integers are simply a improper fraction
Example
3 is nothing but `3 / 1` which is an improper fraction
Mixed fraction:
Mixed fraction is a whole number with proper fraction
Example: 2 `1/3`
whole set fractions
Example 1:
Add `5/3` + ` 8/3`
Here both the denominator is same
Add numerator alone.
`(5+8)/3`
`13/3`
Adding improper fraction with different denominator
Example 2:
Add `5/2` + `4/3`
Here find LCM and solve to make the denominator equal
LCM of 2 and 3 is 6
`(5xx3)/ (2xx3) = 15/6`
`(4xx2)/ (3xx2) = 8/6`
So `(15+8)/6 = 23/6`
whole set fractions
Example 3: Add `3/11` +`6/11`
Solution
Here the denominators are same. So just add the numerator alone
` (3+6)/11`
`9/11` is the answer.
Example 4: Subtract `8/9` – `4/9`
Solution
Here the denominators are same. So just subtract the numerator alone.
`(8 - 4)/9`
`4/9`
Example 5: Multiply` 3/5` x `3/ 4 `
Solution
`3 / 5 ` x `3 / 4`
`(3xx3)/(5xx4) `
= `9 / 20 `