Add 21/16 and 45/49
1st number: 1 5/16, 2nd number: 45/49
21/16 + 45/49 is 1749/784.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 49 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 16 × 49 = 784,
21/16 = 21 × 49/16 × 49 = 1029/784 - Likewise, for the 2nd fraction, since 49 × 16 = 784,
45/49 = 45 × 16/49 × 16 = 720/784 - Add the two like fractions:
1029/784 + 720/784 = 1029 + 720/784 = 1749/784 - So, 21/16 + 45/49 = 1749/784
In mixed form: 2181/784
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