Add 28/9 and 21/42
1st number: 3 1/9, 2nd number: 21/42
28/9 + 21/42 is 65/18.
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,
28/9 = 28 × 14/9 × 14 = 392/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
392/126 + 63/126 = 392 + 63/126 = 455/126 - 455/126 simplified gives 65/18
- So, 28/9 + 21/42 = 65/18
In mixed form: 311/18
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