Add 30/50 and 40/54
30/50 + 40/54 is 181/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 50 × 27 = 1350,
30/50 = 30 × 27/50 × 27 = 810/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
40/54 = 40 × 25/54 × 25 = 1000/1350 - Add the two like fractions:
810/1350 + 1000/1350 = 810 + 1000/1350 = 1810/1350 - 1810/1350 simplified gives 181/135
- So, 30/50 + 40/54 = 181/135
In mixed form: 146/135
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