Answers

Add 30/75 and 70/80

30/75 + 70/80 is 51/40.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 80 is 1200
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1200
2. For the 1st fraction, since 75 × 16 = 1200,
   30/75 = 30 × 16/75 × 16 = 480/1200
3. Likewise, for the 2nd fraction, since 80 × 15 = 1200,
   70/80 = 70 × 15/80 × 15 = 1050/1200
4. Add the two like fractions:
   480/1200 + 1050/1200 = 480 + 1050/1200 = 1530/1200
5. 1530/1200 simplified gives 51/40
6. So, 30/75 + 70/80 = 51/40
   In mixed form: 111/40

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