Add 21/35 and 12/27
21/35 + 12/27 is 47/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 35 × 27 = 945,
21/35 = 21 × 27/35 × 27 = 567/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
12/27 = 12 × 35/27 × 35 = 420/945 - Add the two like fractions:
567/945 + 420/945 = 567 + 420/945 = 987/945 - 987/945 simplified gives 47/45
- So, 21/35 + 12/27 = 47/45
In mixed form: 12/45
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