Add 35/42 and 24/27
35/42 + 24/27 is 31/18.
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,
24/27 = 24 × 14/27 × 14 = 336/378 - Add the two like fractions:
315/378 + 336/378 = 315 + 336/378 = 651/378 - 651/378 simplified gives 31/18
- So, 35/42 + 24/27 = 31/18
In mixed form: 113/18
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