Add 14/30 and 35/49
14/30 + 35/49 is 124/105.
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,
35/49 = 35 × 30/49 × 30 = 1050/1470 - Add the two like fractions:
686/1470 + 1050/1470 = 686 + 1050/1470 = 1736/1470 - 1736/1470 simplified gives 124/105
- So, 14/30 + 35/49 = 124/105
In mixed form: 119/105
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