What Is the Way to Add Whole Numbers and Fractions?


Quick Answer

To add whole numbers and fractions, the whole number must also be turned into a fraction to combine the two. For example, if the problem to be solved with 3/4 + 7, the 7 would become a fraction by representing it as 7/1. Any whole number can be easily turned into a fraction because it is divisible by itself, and can be represented as x/1.

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Full Answer

In cases where there are mixed numbers, both sides still must be represented as fractions for successful addition. In the case of adding 3 4/5 + 6 2/5, the denominator will be multiplied by the whole number, and the numerator will be added. Therefore, 3 4/5 would become 5 x 3 + 4, with the denominator staying the same, for a fraction of 19/5. The same must be done for the second mixed number, so 5 x 6 + 2 for 32/5. Added together, this gives a fraction of 51/5. Now, 5 must be divided into 51 for an answer of 10, and 1/5 remains. The final answer to this addition problem is 10 1/5.

In cases where the denominators are not the same, such as 7 + 2/3, they must be changed. From 7/1 + 2/3, both sides must be multiplied by the other denominator. 7/1 is 7 x 3/1 x 3, and 2/3 is 2 x 1/3 x 1. Now, add 21/3 + 2/3 for an answer of 23/3. Divide again, for a final answer of 7 2/3. A very simple example, however, the steps must always be completed in the same manner.

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