Add 14/4 and 30/49
1st number: 3 2/4, 2nd number: 30/49
14/4 + 30/49 is 403/98.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
14/4 = 14 × 49/4 × 49 = 686/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
30/49 = 30 × 4/49 × 4 = 120/196 - Add the two like fractions:
686/196 + 120/196 = 686 + 120/196 = 806/196 - 806/196 simplified gives 403/98
- So, 14/4 + 30/49 = 403/98
In mixed form: 411/98
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