Add 49/4 and 14/21
1st number: 12 1/4, 2nd number: 14/21
49/4 + 14/21 is 155/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
14/21 = 14 × 4/21 × 4 = 56/84 - Add the two like fractions:
1029/84 + 56/84 = 1029 + 56/84 = 1085/84 - 1085/84 simplified gives 155/12
- So, 49/4 + 14/21 = 155/12
In mixed form: 1211/12
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