Add 35/18 and 21/42
1st number: 1 17/18, 2nd number: 21/42
35/18 + 21/42 is 22/9.
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,
35/18 = 35 × 7/18 × 7 = 245/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
245/126 + 63/126 = 245 + 63/126 = 308/126 - 308/126 simplified gives 22/9
- So, 35/18 + 21/42 = 22/9
In mixed form: 24/9
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