Add 30/40 and 32/27
1st number: 30/40, 2nd number: 1 5/27
30/40 + 32/27 is 209/108.
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,
32/27 = 32 × 40/27 × 40 = 1280/1080 - Add the two like fractions:
810/1080 + 1280/1080 = 810 + 1280/1080 = 2090/1080 - 2090/1080 simplified gives 209/108
- So, 30/40 + 32/27 = 209/108
In mixed form: 1101/108
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