Add 10/14 and 49/21
1st number: 10/14, 2nd number: 2 7/21
10/14 + 49/21 is 64/21.
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,
10/14 = 10 × 3/14 × 3 = 30/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
49/21 = 49 × 2/21 × 2 = 98/42 - Add the two like fractions:
30/42 + 98/42 = 30 + 98/42 = 128/42 - 128/42 simplified gives 64/21
- So, 10/14 + 49/21 = 64/21
In mixed form: 31/21
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