Add 14/30 and 90/49
1st number: 14/30, 2nd number: 1 41/49
14/30 + 90/49 is 1693/735.
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,
14/30 = 14 × 49/30 × 49 = 686/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
90/49 = 90 × 30/49 × 30 = 2700/1470 - Add the two like fractions:
686/1470 + 2700/1470 = 686 + 2700/1470 = 3386/1470 - 3386/1470 simplified gives 1693/735
- So, 14/30 + 90/49 = 1693/735
In mixed form: 2223/735
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