Add 21/9 and 35/42
1st number: 2 3/9, 2nd number: 35/42
21/9 + 35/42 is 19/6.
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,
21/9 = 21 × 14/9 × 14 = 294/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
294/126 + 105/126 = 294 + 105/126 = 399/126 - 399/126 simplified gives 19/6
- So, 21/9 + 35/42 = 19/6
In mixed form: 31/6
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