Add 8/27 and 21/35
8/27 + 21/35 is 121/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 35 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 27 × 35 = 945,
8/27 = 8 × 35/27 × 35 = 280/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
21/35 = 21 × 27/35 × 27 = 567/945 - Add the two like fractions:
280/945 + 567/945 = 280 + 567/945 = 847/945 - 847/945 simplified gives 121/135
- So, 8/27 + 21/35 = 121/135
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