Solve Fraction Addition: 1/4 + 4/9 Step-by-Step

Let's try to find the lowest common denominator between 4 and 9

To find the lowest common denominator, we need to find a number that is divisible by both 4 and 9

In this case, the common denominator is 36

Now we'll multiply each fraction by the appropriate number to reach the denominator 36

We'll multiply the first fraction by 9

We'll multiply the second fraction by 4

$\frac{1\times9}{4\times9}+\frac{4\times4}{9\times4}=\frac{9}{36}+\frac{16}{36}$

Now we'll combine and get:

$\frac{9+16}{36}=\frac{25}{36}$