Add 49/12 and 35/21
1st number: 4 1/12, 2nd number: 1 14/21
49/12 + 35/21 is 23/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
49/12 = 49 × 7/12 × 7 = 343/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
35/21 = 35 × 4/21 × 4 = 140/84 - Add the two like fractions:
343/84 + 140/84 = 343 + 140/84 = 483/84 - 483/84 simplified gives 23/4
- So, 49/12 + 35/21 = 23/4
In mixed form: 53/4
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