Add 35/42 and 3/27
35/42 + 3/27 is 17/18.
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,
35/42 = 35 × 9/42 × 9 = 315/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
3/27 = 3 × 14/27 × 14 = 42/378 - Add the two like fractions:
315/378 + 42/378 = 315 + 42/378 = 357/378 - 357/378 simplified gives 17/18
- So, 35/42 + 3/27 = 17/18
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