Add 4/49 and 9/27
4/49 + 9/27 is 61/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
4/49 = 4 × 27/49 × 27 = 108/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
9/27 = 9 × 49/27 × 49 = 441/1323 - Add the two like fractions:
108/1323 + 441/1323 = 108 + 441/1323 = 549/1323 - 549/1323 simplified gives 61/147
- So, 4/49 + 9/27 = 61/147
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