Add 14/3 and 21/49
1st number: 4 2/3, 2nd number: 21/49
14/3 + 21/49 is 107/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
14/3 = 14 × 49/3 × 49 = 686/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
21/49 = 21 × 3/49 × 3 = 63/147 - Add the two like fractions:
686/147 + 63/147 = 686 + 63/147 = 749/147 - 749/147 simplified gives 107/21
- So, 14/3 + 21/49 = 107/21
In mixed form: 52/21
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