Add 20/54 and 40/75
20/54 + 40/75 is 122/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 54 × 25 = 1350,
20/54 = 20 × 25/54 × 25 = 500/1350 - Likewise, for the 2nd fraction, since 75 × 18 = 1350,
40/75 = 40 × 18/75 × 18 = 720/1350 - Add the two like fractions:
500/1350 + 720/1350 = 500 + 720/1350 = 1220/1350 - 1220/1350 simplified gives 122/135
- So, 20/54 + 40/75 = 122/135
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