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Grade-4
Adding Fractions With Unlike Denominators - Word Problems
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During a pie-eating contest, William ate
1
6
of a pie, and his friend ate
2
7
of a pie. How many pies did they eat 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 6 and 7 is 42.
Now, we have to make sure both fractions have the same new denominator 42.
You can write fraction
1
6
as
1x7
6x7
=
7
42
You can write fraction
2
7
as
2x6
7x6
=
12
42
Now, both fractions have same denominator and we are ready to add
7
42
+
12
42
=
7+12
42
=
19
42
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