Add 27/42 and 9/16
27/42 + 9/16 is 135/112.
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,
27/42 = 27 × 8/42 × 8 = 216/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
9/16 = 9 × 21/16 × 21 = 189/336 - Add the two like fractions:
216/336 + 189/336 = 216 + 189/336 = 405/336 - 405/336 simplified gives 135/112
- So, 27/42 + 9/16 = 135/112
In mixed form: 123/112
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