Add 20/27 and 30/35
20/27 + 30/35 is 302/189.
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,
20/27 = 20 × 35/27 × 35 = 700/945 - Likewise, for the 2nd fraction, since 35 × 27 = 945,
30/35 = 30 × 27/35 × 27 = 810/945 - Add the two like fractions:
700/945 + 810/945 = 700 + 810/945 = 1510/945 - 1510/945 simplified gives 302/189
- So, 20/27 + 30/35 = 302/189
In mixed form: 1113/189
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