We need to equalize denominator of both fraction. I will change the denominator to 36.
1) From the first fraction 1/4, to change the denominator to 36, we should multiply the denominator by 9. If the denominator multiplied by 9, so did the numerator
1/4 = (1 × 9)/(4 × 9)
1/4 = 9/36
2) From the second fraction 2/9, to change the denominator to 36, we should multiply the denominator by 4. If the denominator multiplied by 4, so did the numerator
2/9 = (2 × 4)/(9 × 4)
2/9 = 8/36
Now add the fraction
1/4 + 2/9
= 9/36 + 8/36
= 17/36
This is the final answer