Add 10/30 and 30/49
10/30 + 30/49 is 139/147.
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,
10/30 = 10 × 49/30 × 49 = 490/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
30/49 = 30 × 30/49 × 30 = 900/1470 - Add the two like fractions:
490/1470 + 900/1470 = 490 + 900/1470 = 1390/1470 - 1390/1470 simplified gives 139/147
- So, 10/30 + 30/49 = 139/147
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