Add 21/12 and 49/14
1st number: 1 9/12, 2nd number: 3 7/14
21/12 + 49/14 is 21/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 14 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
21/12 = 21 × 7/12 × 7 = 147/84 - Likewise, for the 2nd fraction, since 14 × 6 = 84,
49/14 = 49 × 6/14 × 6 = 294/84 - Add the two like fractions:
147/84 + 294/84 = 147 + 294/84 = 441/84 - 441/84 simplified gives 21/4
- So, 21/12 + 49/14 = 21/4
In mixed form: 51/4
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