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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
Practice Preview
Davis gave
2
5
of his sandwich to his pet dog and
3
7
of the same sandwich to his pet cat. How much of the sandwich was given to the pet dog and the pet cat altogether?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 5 and 7 is 35.
Now, we have to make sure both fractions have the same new denominator 35.
You can write fraction
2
5
as
2x7
5x7
=
14
35
You can write fraction
3
7
as
3x5
7x5
=
15
35
Now, both fractions have same denominator and we are ready to add
14
35
+
15
35
=
14+15
35
=
29
35
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