Add 84/42 and 14/9
1st number: 2 0/42, 2nd number: 1 5/9
84/42 + 14/9 is 32/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 42 × 3 = 126,
84/42 = 84 × 3/42 × 3 = 252/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
14/9 = 14 × 14/9 × 14 = 196/126 - Add the two like fractions:
252/126 + 196/126 = 252 + 196/126 = 448/126 - 448/126 simplified gives 32/9
- So, 84/42 + 14/9 = 32/9
In mixed form: 35/9
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