Add 27/35 and 21/27
27/35 + 21/27 is 488/315.
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,
27/35 = 27 × 27/35 × 27 = 729/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
21/27 = 21 × 35/27 × 35 = 735/945 - Add the two like fractions:
729/945 + 735/945 = 729 + 735/945 = 1464/945 - 1464/945 simplified gives 488/315
- So, 27/35 + 21/27 = 488/315
In mixed form: 1173/315
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