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`.

Answer: -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`.