Like Fractions
The fractions which have the same denominators are called like fractions.
For example 1/2, 3/2, 5/2, 7/2 are like fractions.
The simplification of such fractions is easy, as all the denominators here are the same. Suppose we need to add all the above like fractions, then;
1/2 + 3/2 + 5/2 + 7/2 = (1+3+5+7)/2 = 16/2 = 8
Unlike Fractions
The fractions which have unequal denominators or different denominators are called, unlike fractions.
For example 1/2, 1/3, 1/4, 1/5, are unlike fractions.
Simplication for such fractions is a little lengthy method since we need to factorise the denominator first and then simplify them (in case of addition and subtraction).
Suppose, we have to add 1/2 and 1/3. Then first we will find the LCM of 2 and 3 which is equal to 6.
Now we need to multiply 1/2 by 3 and 1/3 by 2, both in numerator and denominator.
The fractions become 3/6 and 2/6.
Now if we add 3/6 and 2/6, we get;
3/6+2/6 = 5/6
Equivalent Fractions
When two or more fractions have the same result after simplification for which they represent the same portion of the whole, then such fractions are equal to each other and are called equivalent fractions.
For example, 1/2 and 2/4 are equivalent.
1/3 and 3/9 are equivalent.
Examples
Let us see some examples here based on the fraction’s types.
Examples of Proper Fractions: 2/3, 2/4, 2/5, 1/2. 4/7, 7/9, etc. (Numerator < Denominator)
Examples of Improper Fractions: 3/2, 4/2, 5/2, 7/4, 9/7, 8/5, etc. (Numerator > Denominator)
Examples of Mixed Fractions: example of Mixed fraction etc. (Combination of whole numbers, proper and improper fractions)
