Add 30/40 and 40/54
30/40 + 40/54 is 161/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 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 54 × 20 = 1080,
40/54 = 40 × 20/54 × 20 = 800/1080 - Add the two like fractions:
810/1080 + 800/1080 = 810 + 800/1080 = 1610/1080 - 1610/1080 simplified gives 161/108
- So, 30/40 + 40/54 = 161/108
In mixed form: 153/108
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