Add 24/49 and 21/30
24/49 + 21/30 is 583/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
24/49 = 24 × 30/49 × 30 = 720/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
21/30 = 21 × 49/30 × 49 = 1029/1470 - Add the two like fractions:
720/1470 + 1029/1470 = 720 + 1029/1470 = 1749/1470 - 1749/1470 simplified gives 583/490
- So, 24/49 + 21/30 = 583/490
In mixed form: 193/490
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