Add 28/21 and 49/45
1st number: 1 7/21, 2nd number: 1 4/45
28/21 + 49/45 is 109/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 21 × 15 = 315,
28/21 = 28 × 15/21 × 15 = 420/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
49/45 = 49 × 7/45 × 7 = 343/315 - Add the two like fractions:
420/315 + 343/315 = 420 + 343/315 = 763/315 - 763/315 simplified gives 109/45
- So, 28/21 + 49/45 = 109/45
In mixed form: 219/45
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