# Subtracting Fractions with Like Denominators

## Related Calculator: Fractions Calculator

To subtract fractions with like denominators we just subtract numerators (just like we subtract 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 difference.

Example 1. Find 2/5-1/5.

2/5-1/5=(2-1)/5=1/5.

Try to reduce fraction: 1/5 is irreducible.

Answer: 1/5.

Next example.

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

3/7-5/7=(3-5)/7=-2/7.

Try to reduce fraction: -2/7 is irreducible.

Answer: -2/7.

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 -4/7-10/7.

-4/7-10/7=(-4-10)/7=-14/7.

Try to reduce fraction: -14/7=-2.

Next example.

Example 5. Find 15/15-(-1/15).

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: 1/7.

Next exercise.

Exercise 2. Find 8/9-5/9.

Answer: 1/3.

Next exercise.

Exercise 3. Find -5/8+3/8.

Answer: -1/4.

Next exercise.

Exercise 4. Find 11/10-(-14/10).

Answer: 5/2.

Next exercise.

Exercise 5. Find -4/2-3/2.

Answer: -7/2.