Add 10/27 and 30/42
10/27 + 30/42 is 205/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
10/27 = 10 × 14/27 × 14 = 140/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
140/378 + 270/378 = 140 + 270/378 = 410/378 - 410/378 simplified gives 205/189
- So, 10/27 + 30/42 = 205/189
In mixed form: 116/189
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