Add 36/42 and 27/16
1st number: 36/42, 2nd number: 1 11/16
36/42 + 27/16 is 285/112.
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,
36/42 = 36 × 8/42 × 8 = 288/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
27/16 = 27 × 21/16 × 21 = 567/336 - Add the two like fractions:
288/336 + 567/336 = 288 + 567/336 = 855/336 - 855/336 simplified gives 285/112
- So, 36/42 + 27/16 = 285/112
In mixed form: 261/112
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