Add 14/27 and 16/42
14/27 + 16/42 is 170/189.
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,
14/27 = 14 × 14/27 × 14 = 196/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
16/42 = 16 × 9/42 × 9 = 144/378 - Add the two like fractions:
196/378 + 144/378 = 196 + 144/378 = 340/378 - 340/378 simplified gives 170/189
- So, 14/27 + 16/42 = 170/189
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