Add 21/14 and 35/21
1st number: 1 7/14, 2nd number: 1 14/21
21/14 + 35/21 is 19/6.
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,
21/14 = 21 × 3/14 × 3 = 63/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
35/21 = 35 × 2/21 × 2 = 70/42 - Add the two like fractions:
63/42 + 70/42 = 63 + 70/42 = 133/42 - 133/42 simplified gives 19/6
- So, 21/14 + 35/21 = 19/6
In mixed form: 31/6
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