Add 35/42 and 84/9
1st number: 35/42, 2nd number: 9 3/9
35/42 + 84/9 is 61/6.
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,
35/42 = 35 × 3/42 × 3 = 105/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
84/9 = 84 × 14/9 × 14 = 1176/126 - Add the two like fractions:
105/126 + 1176/126 = 105 + 1176/126 = 1281/126 - 1281/126 simplified gives 61/6
- So, 35/42 + 84/9 = 61/6
In mixed form: 101/6
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