Add 30/40 and 49/27
1st number: 30/40, 2nd number: 1 22/27
30/40 + 49/27 is 277/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
49/27 = 49 × 40/27 × 40 = 1960/1080 - Add the two like fractions:
810/1080 + 1960/1080 = 810 + 1960/1080 = 2770/1080 - 2770/1080 simplified gives 277/108
- So, 30/40 + 49/27 = 277/108
In mixed form: 261/108
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