Add 84/49 and 14/30
1st number: 1 35/49, 2nd number: 14/30
84/49 + 14/30 is 229/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 49 × 30 = 1470,
84/49 = 84 × 30/49 × 30 = 2520/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
14/30 = 14 × 49/30 × 49 = 686/1470 - Add the two like fractions:
2520/1470 + 686/1470 = 2520 + 686/1470 = 3206/1470 - 3206/1470 simplified gives 229/105
- So, 84/49 + 14/30 = 229/105
In mixed form: 219/105
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