To add fractions with different denominators you just need to multiply each fraction to get the same denominator:
Take:
The easiest common denominator will be the product of both denominators ( 5 × 9 = 45 ). So multiply each fraction.
Notice that you’re really multiplying each fraction by 1 (since 9/9 = 1 and 5/5 = 1) and anything multiplied by one remains the same number. So you’re not changing the value of the fraction, just how it looks.
Now doing the multiplication gives:
Which we can add because we now have a common denominator:
And simplify to give a mixed number:
