Answer:
9/10
Step-by-step explanation:
If you are truly "struggling," you might want to consider working the problem using your calculator. It will give you a decimal answer: 0.9.
You know this is nine tenths, or 9/10 when written as a fraction.
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When adding fractions, you are instructed to use a common denominator. Usually, that instruction is to find the "least" common denominator. In many cases, that simplifies reducing the fraction that will be the answer.
However, <em>any</em> common denominator will do. The easiest one to find is the product of the denominators. Here, that is 2·5 = 10.
The first fraction has a denominator of 2, so to make its denominator 10, you need to multiply it by 5/5.
The second fraction has a denominator of 5, so to make its denominator 10, you need to multiply it by 2/2.
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Effectively, we have used the formula for the sum of two fractions:
(a/b) +(c/d) = (ad +bc)/(bd)
1/2 + 2/5 = (1·5 +2·2)/(2·5) = 9/10