Add 35/14 and 49/9
1st number: 2 7/14, 2nd number: 5 4/9
35/14 + 49/9 is 143/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
49/9 = 49 × 14/9 × 14 = 686/126 - Add the two like fractions:
315/126 + 686/126 = 315 + 686/126 = 1001/126 - 1001/126 simplified gives 143/18
- So, 35/14 + 49/9 = 143/18
In mixed form: 717/18
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