Add 14/49 and 24/30
14/49 + 24/30 is 38/35.
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,
14/49 = 14 × 30/49 × 30 = 420/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
24/30 = 24 × 49/30 × 49 = 1176/1470 - Add the two like fractions:
420/1470 + 1176/1470 = 420 + 1176/1470 = 1596/1470 - 1596/1470 simplified gives 38/35
- So, 14/49 + 24/30 = 38/35
In mixed form: 13/35
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