Add 35/9 and 63/42
1st number: 3 8/9, 2nd number: 1 21/42
35/9 + 63/42 is 97/18.
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,
35/9 = 35 × 14/9 × 14 = 490/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
63/42 = 63 × 3/42 × 3 = 189/126 - Add the two like fractions:
490/126 + 189/126 = 490 + 189/126 = 679/126 - 679/126 simplified gives 97/18
- So, 35/9 + 63/42 = 97/18
In mixed form: 57/18
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