In this page 'Adding fractions with commondenominator' we are going to see the solutions for the practice problems in the page adding like fractions.
At the end of this page you can find worksheets . This worksheets will be very useful to the students who are in the grade of 4th,5th and 6th grade students.Before look in to the question first let us consider the meaning of fraction.
A
fraction is the ratio of two numbers which is containing two
parts.Usually we write fraction as 2/7. In this fraction the upper
part(2) is known as numerator and the lower part(7) as denominator.We
have three types of fractions.
1. Proper fraction
2. Improper fraction
3. Mixed fraction
Proper fraction is normal fraction like the previous example (2/7).
Always the numerator will be more than the denominator.In the improper
fraction the denominator value will be more than the numerator.But in
the mixed fraction we have three parts.We can change the mixed fraction
as improper fraction.
We can add,subtract,multiply and divide any two fractions.If we need to add or subtract any two fraction we need to consider the denominator of those fraction.
But
if we want to multiply or divide two fractions we don't need to consider
the denominators.We have to multiply the numerator of one fraction with
the numerator of another fraction and the denominator of one fraction
with the denominator of other.Using this basic rule you can try these
fraction worksheets.adding fractions with commondenominator adding fractions with commondenominatora adding fractions with commondenominator
Now let us see a example for adding fractions with common denominator.add
Add (1⁄10) + 2⁄10
Solution:
Here we have same denominators
= ( 1⁄10 ) + ( 2⁄10 )
= (1 + 2)⁄10
= 3⁄10
The above example is explained with squares in the following diagram.
1. Add 3/10 + 5/10
Solution:
Here we have same denominators
= ( 3⁄10 ) + ( 5⁄10 )
= (3 + 5)⁄10
= 8⁄10.
We can leave the solution as it is or we can simplify further. To simplify further we have to divide both numerator and denominator by 2.
= 4/5.
2. Add 1/5 + 3/5.
Solution:
Here we have same denominators
= ( 1⁄5 ) + ( 3⁄5 )
= (1 + 3)⁄5
= 4⁄5.
3. Add 2/7 + 4/7
Solution:
Here we have same denominators
= ( 2⁄7 ) + ( 4⁄7 )
= (2 + 4)⁄7
= 6⁄7.
4.Add 3/17 + 9/17
Solution:
Here we have same denominators
= ( 3⁄17 ) + ( 9⁄17 )
= (3 + 9)⁄17
= 12⁄17.
5.Add 4/20 + 11/20
Solution:
Here we have same denominators
= ( 4⁄20 ) + ( 11⁄20 )
= (4 + 11)⁄20
= 15⁄20
We can leave the solution as it is or we can simplify further. To
simplify further we have to divide both numerator and denominator by the common divisor 5.
=3/4.
We have discussed how to add two fractions with common denominators. Work sheets have been given at the end of the page. Please do the problems as we had solved here. If you have any doubt please contact us through mail, we will help you to solve your doubts.