Add 30/35 and 42/81
30/35 + 42/81 is 260/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 81 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 35 × 81 = 2835,
30/35 = 30 × 81/35 × 81 = 2430/2835 - Likewise, for the 2nd fraction, since 81 × 35 = 2835,
42/81 = 42 × 35/81 × 35 = 1470/2835 - Add the two like fractions:
2430/2835 + 1470/2835 = 2430 + 1470/2835 = 3900/2835 - 3900/2835 simplified gives 260/189
- So, 30/35 + 42/81 = 260/189
In mixed form: 171/189
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