Add 20/30 and 14/49
20/30 + 14/49 is 20/21.
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,
20/30 = 20 × 49/30 × 49 = 980/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
14/49 = 14 × 30/49 × 30 = 420/1470 - Add the two like fractions:
980/1470 + 420/1470 = 980 + 420/1470 = 1400/1470 - 1400/1470 simplified gives 20/21
- So, 20/30 + 14/49 = 20/21
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