Add 10/42 and 14/27
10/42 + 14/27 is 143/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
10/42 = 10 × 9/42 × 9 = 90/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
14/27 = 14 × 14/27 × 14 = 196/378 - Add the two like fractions:
90/378 + 196/378 = 90 + 196/378 = 286/378 - 286/378 simplified gives 143/189
- So, 10/42 + 14/27 = 143/189
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