Add 21/27 and 3/49
21/27 + 3/49 is 370/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
21/27 = 21 × 49/27 × 49 = 1029/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
3/49 = 3 × 27/49 × 27 = 81/1323 - Add the two like fractions:
1029/1323 + 81/1323 = 1029 + 81/1323 = 1110/1323 - 1110/1323 simplified gives 370/441
- So, 21/27 + 3/49 = 370/441
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