Add 35/42 and 12/16
35/42 + 12/16 is 19/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
35/42 = 35 × 8/42 × 8 = 280/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
12/16 = 12 × 21/16 × 21 = 252/336 - Add the two like fractions:
280/336 + 252/336 = 280 + 252/336 = 532/336 - 532/336 simplified gives 19/12
- So, 35/42 + 12/16 = 19/12
In mixed form: 17/12
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