Add 35/9 and 14/21
1st number: 3 8/9, 2nd number: 14/21
35/9 + 14/21 is 41/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
35/9 = 35 × 7/9 × 7 = 245/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
14/21 = 14 × 3/21 × 3 = 42/63 - Add the two like fractions:
245/63 + 42/63 = 245 + 42/63 = 287/63 - 287/63 simplified gives 41/9
- So, 35/9 + 14/21 = 41/9
In mixed form: 45/9
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