Add 21/30 and 30/49
21/30 + 30/49 is 643/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
21/30 = 21 × 49/30 × 49 = 1029/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
30/49 = 30 × 30/49 × 30 = 900/1470 - Add the two like fractions:
1029/1470 + 900/1470 = 1029 + 900/1470 = 1929/1470 - 1929/1470 simplified gives 643/490
- So, 21/30 + 30/49 = 643/490
In mixed form: 1153/490
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