Add 21/18 and 27/42
1st number: 1 3/18, 2nd number: 27/42
21/18 + 27/42 is 38/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
21/18 = 21 × 7/18 × 7 = 147/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
27/42 = 27 × 3/42 × 3 = 81/126 - Add the two like fractions:
147/126 + 81/126 = 147 + 81/126 = 228/126 - 228/126 simplified gives 38/21
- So, 21/18 + 27/42 = 38/21
In mixed form: 117/21
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