Add 35/9 and 42/49
1st number: 3 8/9, 2nd number: 42/49
35/9 + 42/49 is 299/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
35/9 = 35 × 49/9 × 49 = 1715/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
42/49 = 42 × 9/49 × 9 = 378/441 - Add the two like fractions:
1715/441 + 378/441 = 1715 + 378/441 = 2093/441 - 2093/441 simplified gives 299/63
- So, 35/9 + 42/49 = 299/63
In mixed form: 447/63
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