Solve the Fraction Addition: 1/2 + 1/5 Step-by-Step

Let's try to find the lowest common denominator between 2 and 5

To find the lowest common denominator, we need to find a number that is divisible by both 2 and 5

In this case, the common denominator is 10

Now we'll multiply each fraction by the appropriate number to reach the denominator 10

We'll multiply the first fraction by 5

We'll multiply the second fraction by 2

$\frac{1\times5}{2\times5}+\frac{1\times2}{5\times2}=\frac{5}{10}+\frac{2}{10}$

Now we'll combine and get:

$\frac{5+2}{10}=\frac{7}{10}$