# Adding Fractions with Like Denominators

## Related Calculator: Fractions Calculator

To add fractions with like denominators we just add numerators (just like we add integers) and denominator leave the same: color(red)(a/c+b/c=(a+b)/c).

It is possible that you need to reduce fraction after finding sum.

Example 1. Find 1/5+2/5.

1/5+2/5=(1+2)/5=3/5.

Try to reduce fraction: 3/5 is irreducible.

Answer: 3/5.

Next example.

Example 2. Find 3/7+5/7.

3/7+5/7=(3+5)/7=8/7.

Try to reduce fraction: 8/7 is irreducible.

Answer: 8/7.

Next example.

Example 3. Find 3/22+(-5/22).

3/22+5/22=(3+(-5))/22=-2/22.

Try to reduce fraction: -2/22=-1/11.

Answer: -1/11.

Next example.

Example 4. Find -4/7+18/7.

-4/7+18/7=(-4+18)/7=14/7.

Try to reduce fraction: 14/7=2.

Next example.

Example 5. Find 15/15+1/15.

15/15+1/15=(15+1)/15=16/15.

Try to reduce fraction: 16/15 is irreducible.

Answer: 16/15.

Now, it is time to do some exercises.

Exercise 1. Find 6/7+5/7.

Answer: 11/7.

Next exercise.

Exercise 2. Find 10/9+5/9.

Answer: 5/3.

Next exercise.

Exercise 3. Find 15/8+(-7/8).

Exercise 4. Find 11/10+14/10.
Answer: 5/2.
Exercise 5. Find -4/2+3/2.
Answer: -1/2.