Add 21/27 and 28/35
21/27 + 28/35 is 71/45.
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,
21/27 = 21 × 35/27 × 35 = 735/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
28/35 = 28 × 27/35 × 27 = 756/945 - Add the two like fractions:
735/945 + 756/945 = 735 + 756/945 = 1491/945 - 1491/945 simplified gives 71/45
- So, 21/27 + 28/35 = 71/45
In mixed form: 126/45
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