Add 35/14 and 84/21
1st number: 2 7/14, 2nd number: 4 0/21
35/14 + 84/21 is 13/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
84/21 = 84 × 2/21 × 2 = 168/42 - Add the two like fractions:
105/42 + 168/42 = 105 + 168/42 = 273/42 - 273/42 simplified gives 13/2
- So, 35/14 + 84/21 = 13/2
In mixed form: 61/2
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