Add 14/21 and 49/35
1st number: 14/21, 2nd number: 1 14/35
14/21 + 49/35 is 31/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
14/21 = 14 × 5/21 × 5 = 70/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
49/35 = 49 × 3/35 × 3 = 147/105 - Add the two like fractions:
70/105 + 147/105 = 70 + 147/105 = 217/105 - 217/105 simplified gives 31/15
- So, 14/21 + 49/35 = 31/15
In mixed form: 21/15
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