Add 30/81 and 40/54
30/81 + 40/54 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 54 is 162
Next, find the equivalent fraction of both fractional numbers with denominator 162 - For the 1st fraction, since 81 × 2 = 162,
30/81 = 30 × 2/81 × 2 = 60/162 - Likewise, for the 2nd fraction, since 54 × 3 = 162,
40/54 = 40 × 3/54 × 3 = 120/162 - Add the two like fractions:
60/162 + 120/162 = 60 + 120/162 = 180/162 - 180/162 simplified gives 10/9
- So, 30/81 + 40/54 = 10/9
In mixed form: 11/9
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