Add 49/45 and 35/21
1st number: 1 4/45, 2nd number: 1 14/21
49/45 + 35/21 is 124/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
49/45 = 49 × 7/45 × 7 = 343/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
35/21 = 35 × 15/21 × 15 = 525/315 - Add the two like fractions:
343/315 + 525/315 = 343 + 525/315 = 868/315 - 868/315 simplified gives 124/45
- So, 49/45 + 35/21 = 124/45
In mixed form: 234/45
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