Adding Fractions Practice

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Question 1

What is the resulting fraction when we add:

Add 3 with 2/5

Give the answer in the simplest form.


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Select and check your answer...

A. 2 3/5
B. 3 5/2
C. 3 2/5
D. 5 2/3

Step by Step Solution

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    Step 1

    Let's take the longer way of adding 3 and 2/5. By doing so, it will help us to understand adding fractions better. Since 3 is a whole number, we can change it into a fraction as shown:

    Changing 3 into a fraction
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    Step 2

    We now have:

    Now, we have 3/1 with 2/5
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    Step 3

    Now, since these fractions have unlike denominators, we can make the denominators the same by using Equivalent Fractions.

    We can do so by multiplying the numerator and denominator of 3/1 with 5 as shown below:

    Multiply the numerator and denominator with 5
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    Step 4

    With the denominators the same, we can now add these fractions together:

    Adding 15/5 with 2/5 gives 17/5
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    Step 5

    Notice that 17/5 is an improper fraction? Rather than leaving the answer like this, it is better to change it into a mixed fraction.

    Adding 15/5 with 2/5 gives 17/5
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    Step 6

    So, we have the answer as 3 2/5.

    Adding 3 with 2/5 gives 3 2/5

    Now, with some observations, realize that we can quickly get the answer by just combining the whole number and the fraction together. This is shown below:

    The shortcut to add these fractions

    Clearly, the answer is C.