Add 40/9 and 49/14
1st number: 4 4/9, 2nd number: 3 7/14
40/9 + 49/14 is 143/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
40/9 = 40 × 14/9 × 14 = 560/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
49/14 = 49 × 9/14 × 9 = 441/126 - Add the two like fractions:
560/126 + 441/126 = 560 + 441/126 = 1001/126 - 1001/126 simplified gives 143/18
- So, 40/9 + 49/14 = 143/18
In mixed form: 717/18
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