Add 8/45 and 27/21
1st number: 8/45, 2nd number: 1 6/21
8/45 + 27/21 is 461/315.
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,
8/45 = 8 × 7/45 × 7 = 56/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
27/21 = 27 × 15/21 × 15 = 405/315 - Add the two like fractions:
56/315 + 405/315 = 56 + 405/315 = 461/315 - So, 8/45 + 27/21 = 461/315
In mixed form: 1146/315
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