Answers

Add 21/42 and 45/98

21/42 + 45/98 is 47/49.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 98 is 294
   
   Next, find the equivalent fraction of both fractional numbers with denominator 294
2. For the 1st fraction, since 42 × 7 = 294,
   21/42 = 21 × 7/42 × 7 = 147/294
3. Likewise, for the 2nd fraction, since 98 × 3 = 294,
   45/98 = 45 × 3/98 × 3 = 135/294
4. Add the two like fractions:
   147/294 + 135/294 = 147 + 135/294 = 282/294
5. 282/294 simplified gives 47/49
6. So, 21/42 + 45/98 = 47/49

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