Add 49/14 and 14/35
1st number: 3 7/14, 2nd number: 14/35
49/14 + 14/35 is 39/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 35 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 14 × 5 = 70,
49/14 = 49 × 5/14 × 5 = 245/70 - Likewise, for the 2nd fraction, since 35 × 2 = 70,
14/35 = 14 × 2/35 × 2 = 28/70 - Add the two like fractions:
245/70 + 28/70 = 245 + 28/70 = 273/70 - 273/70 simplified gives 39/10
- So, 49/14 + 14/35 = 39/10
In mixed form: 39/10
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