Add 27/75 and 42/54
27/75 + 42/54 is 256/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
27/75 = 27 × 18/75 × 18 = 486/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
42/54 = 42 × 25/54 × 25 = 1050/1350 - Add the two like fractions:
486/1350 + 1050/1350 = 486 + 1050/1350 = 1536/1350 - 1536/1350 simplified gives 256/225
- So, 27/75 + 42/54 = 256/225
In mixed form: 131/225
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