Add 27/45 and 2/12
27/45 + 2/12 is 23/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
2/12 = 2 × 15/12 × 15 = 30/180 - Add the two like fractions:
108/180 + 30/180 = 108 + 30/180 = 138/180 - 138/180 simplified gives 23/30
- So, 27/45 + 2/12 = 23/30
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