Add 12/9 and 84/42
1st number: 1 3/9, 2nd number: 2 0/42
12/9 + 84/42 is 10/3.
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,
12/9 = 12 × 14/9 × 14 = 168/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
84/42 = 84 × 3/42 × 3 = 252/126 - Add the two like fractions:
168/126 + 252/126 = 168 + 252/126 = 420/126 - 420/126 simplified gives 10/3
- So, 12/9 + 84/42 = 10/3
In mixed form: 31/3
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