Add 35/30 and 14/49
1st number: 1 5/30, 2nd number: 14/49
35/30 + 14/49 is 61/42.
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,
35/30 = 35 × 49/30 × 49 = 1715/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
14/49 = 14 × 30/49 × 30 = 420/1470 - Add the two like fractions:
1715/1470 + 420/1470 = 1715 + 420/1470 = 2135/1470 - 2135/1470 simplified gives 61/42
- So, 35/30 + 14/49 = 61/42
In mixed form: 119/42
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