Add 35/14 and 42/49
1st number: 2 7/14, 2nd number: 42/49
35/14 + 42/49 is 47/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
35/14 = 35 × 7/14 × 7 = 245/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
42/49 = 42 × 2/49 × 2 = 84/98 - Add the two like fractions:
245/98 + 84/98 = 245 + 84/98 = 329/98 - 329/98 simplified gives 47/14
- So, 35/14 + 42/49 = 47/14
In mixed form: 35/14
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