Add 30/9 and 35/42
1st number: 3 3/9, 2nd number: 35/42
30/9 + 35/42 is 25/6.
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,
30/9 = 30 × 14/9 × 14 = 420/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
35/42 = 35 × 3/42 × 3 = 105/126 - Add the two like fractions:
420/126 + 105/126 = 420 + 105/126 = 525/126 - 525/126 simplified gives 25/6
- So, 30/9 + 35/42 = 25/6
In mixed form: 41/6
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