What Is the Way to Add Whole Numbers and Fractions?

What Is the Way to Add Whole Numbers and Fractions?

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.

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.