Add 21/42 and 27/98
21/42 + 27/98 is 38/49.
Steps for adding fractions
- 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 - For the 1st fraction, since 42 × 7 = 294,
21/42 = 21 × 7/42 × 7 = 147/294 - Likewise, for the 2nd fraction, since 98 × 3 = 294,
27/98 = 27 × 3/98 × 3 = 81/294 - Add the two like fractions:
147/294 + 81/294 = 147 + 81/294 = 228/294 - 228/294 simplified gives 38/49
- So, 21/42 + 27/98 = 38/49
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