Answers

Add 30/98 and 45/40

1^st number: 30/98, 2^nd number: 1 5/40

30/98 + 45/40 is 561/392.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 98 and 40 is 1960
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1960
2. For the 1st fraction, since 98 × 20 = 1960,
   30/98 = 30 × 20/98 × 20 = 600/1960
3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
   45/40 = 45 × 49/40 × 49 = 2205/1960
4. Add the two like fractions:
   600/1960 + 2205/1960 = 600 + 2205/1960 = 2805/1960
5. 2805/1960 simplified gives 561/392
6. So, 30/98 + 45/40 = 561/392
   In mixed form: 1169/392

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