In reallife scenarios, we often encounter measured quantities that are not whole numbers, and fractions help us deal with parts and portions of whole things.
For Example: 1/3, 2/5, and 3/8 are all proper fractions because the numerator is less than the denominator. In these fractions, the value of the fraction is less than 1, which means that the fraction represents a part of a whole object or a quantity that is smaller than the whole.
Since the numerator of a proper fraction is less than the denominator, the value of the fraction is always less than 1.
i.e., Numerator > Denominator
For Example: An example of an improper fraction is 17/5, where the numerator (17) is greater than the denominator (5).
Remember:
Remember:
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
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
1/2 and 2/4 are equivalent.
1/3 and 3/9 are equivalent.
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