Add 16/27 and 12/42
16/27 + 12/42 is 166/189.
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,
16/27 = 16 × 14/27 × 14 = 224/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
12/42 = 12 × 9/42 × 9 = 108/378 - Add the two like fractions:
224/378 + 108/378 = 224 + 108/378 = 332/378 - 332/378 simplified gives 166/189
- So, 16/27 + 12/42 = 166/189
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