To subtract fractions with like denominators we just subtract numerators (just like we subtract integers) and denominator leave the same: ca−cb=ca−b.
It is possible that you need to reduce fraction after finding difference.
Example 1. Find 52−51.
52−51=52−1=51.
Try to reduce fraction: 51 is irreducible.
Answer: 51.
Next example.
Example 2. Find 73−75.
73−75=73−5=−72.
Try to reduce fraction: −72 is irreducible.
Answer: −72.
Next example.
Example 3. Find 223−225.
223−225=223−5=−222.
Try to reduce fraction: −222=−111.
Answer: −111.
Next example.
Example 4. Find −74−710.
−74−710=7−4−10=−714.
Try to reduce fraction: −714=−2.
Answer: -2.
Next example.
Example 5. Find 1515−(−151).
1515−(−151)=1515+151=1515+1=1516.
Try to reduce fraction: 1516 is irreducible.
Answer: 1516.
Now, it is time to do some exercises.
Exercise 1. Find 76−75.
Answer: 71.
Next exercise.
Exercise 2. Find 98−95.
Answer: 31.
Next exercise.
Exercise 3. Find −85+83.
Answer: −41.
Next exercise.
Exercise 4. Find 1011−(−1014).
Answer: 25.
Next exercise.
Exercise 5. Find −24−23.
Answer: −27.