Add 35/42 and 40/9
1st number: 35/42, 2nd number: 4 4/9
35/42 + 40/9 is 95/18.
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,
40/9 = 40 × 14/9 × 14 = 560/126 - Add the two like fractions:
105/126 + 560/126 = 105 + 560/126 = 665/126 - 665/126 simplified gives 95/18
- So, 35/42 + 40/9 = 95/18
In mixed form: 55/18
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