Add 18/9 and 27/42
1st number: 2 0/9, 2nd number: 27/42
18/9 + 27/42 is 37/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
18/9 = 18 × 14/9 × 14 = 252/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
27/42 = 27 × 3/42 × 3 = 81/126 - Add the two like fractions:
252/126 + 81/126 = 252 + 81/126 = 333/126 - 333/126 simplified gives 37/14
- So, 18/9 + 27/42 = 37/14
In mixed form: 29/14
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