Add 21/27 and 48/49
21/27 + 48/49 is 775/441.
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,
48/49 = 48 × 27/49 × 27 = 1296/1323 - Add the two like fractions:
1029/1323 + 1296/1323 = 1029 + 1296/1323 = 2325/1323 - 2325/1323 simplified gives 775/441
- So, 21/27 + 48/49 = 775/441
In mixed form: 1334/441
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