Add 30/35 and 14/27
30/35 + 14/27 is 260/189.
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,
30/35 = 30 × 27/35 × 27 = 810/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
14/27 = 14 × 35/27 × 35 = 490/945 - Add the two like fractions:
810/945 + 490/945 = 810 + 490/945 = 1300/945 - 1300/945 simplified gives 260/189
- So, 30/35 + 14/27 = 260/189
In mixed form: 171/189
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