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`.