Add 14/30 and 80/49
1st number: 14/30, 2nd number: 1 31/49
14/30 + 80/49 is 1543/735.
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,
80/49 = 80 × 30/49 × 30 = 2400/1470 - Add the two like fractions:
686/1470 + 2400/1470 = 686 + 2400/1470 = 3086/1470 - 3086/1470 simplified gives 1543/735
- So, 14/30 + 80/49 = 1543/735
In mixed form: 273/735
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