Add 49/9 and 40/42
1st number: 5 4/9, 2nd number: 40/42
49/9 + 40/42 is 403/63.
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,
49/9 = 49 × 14/9 × 14 = 686/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
40/42 = 40 × 3/42 × 3 = 120/126 - Add the two like fractions:
686/126 + 120/126 = 686 + 120/126 = 806/126 - 806/126 simplified gives 403/63
- So, 49/9 + 40/42 = 403/63
In mixed form: 625/63
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