Final answer:
To find the sum of 4/5 and 12/15, we first express 4/5 with a denominator of 15, resulting in 12/15. We then add 12/15 + 12/15 to get 24/15, which simplifies to 8/5 or 1 3/5.
Step-by-step explanation:
To add the fractions 4/5 and 12/15, you need to find a common denominator. The number 15 is already a multiple of 5, so you can use 15 as the common denominator. First, convert 4/5 to a fraction with a denominator of 15 by multiplying the numerator and the denominator by 3:
(4/5) * (3/3) = 12/15.
Now you have two fractions with the same denominator: 12/15 + 12/15.
Add the numerators and keep the denominator the same:
12/15 + 12/15 = (12 + 12) / 15 = 24/15.
To simplify, notice that 24 and 15 have a common factor of 3. So, divide both numerator and denominator by 3:
24/15 ÷ (3/3) = 8/5.
The final, simplified answer is 8/5, which is also 1 3/5 when expressed as a mixed number.