Add 27/21 and 40/45
1st number: 1 6/21, 2nd number: 40/45
27/21 + 40/45 is 137/63.
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,
27/21 = 27 × 15/21 × 15 = 405/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
40/45 = 40 × 7/45 × 7 = 280/315 - Add the two like fractions:
405/315 + 280/315 = 405 + 280/315 = 685/315 - 685/315 simplified gives 137/63
- So, 27/21 + 40/45 = 137/63
In mixed form: 211/63
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