Add 24/35 and 21/27
24/35 + 21/27 is 461/315.
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,
24/35 = 24 × 27/35 × 27 = 648/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
21/27 = 21 × 35/27 × 35 = 735/945 - Add the two like fractions:
648/945 + 735/945 = 648 + 735/945 = 1383/945 - 1383/945 simplified gives 461/315
- So, 24/35 + 21/27 = 461/315
In mixed form: 1146/315
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