Add 16/27 and 40/42
16/27 + 40/42 is 292/189.
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,
40/42 = 40 × 9/42 × 9 = 360/378 - Add the two like fractions:
224/378 + 360/378 = 224 + 360/378 = 584/378 - 584/378 simplified gives 292/189
- So, 16/27 + 40/42 = 292/189
In mixed form: 1103/189
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