Add 49/14 and 30/21
1st number: 3 7/14, 2nd number: 1 9/21
49/14 + 30/21 is 69/14.
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,
49/14 = 49 × 3/14 × 3 = 147/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
147/42 + 60/42 = 147 + 60/42 = 207/42 - 207/42 simplified gives 69/14
- So, 49/14 + 30/21 = 69/14
In mixed form: 413/14
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