Add 54/27 and 42/75
1st number: 2 0/27, 2nd number: 42/75
54/27 + 42/75 is 64/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 75 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 27 × 25 = 675,
54/27 = 54 × 25/27 × 25 = 1350/675 - Likewise, for the 2nd fraction, since 75 × 9 = 675,
42/75 = 42 × 9/75 × 9 = 378/675 - Add the two like fractions:
1350/675 + 378/675 = 1350 + 378/675 = 1728/675 - 1728/675 simplified gives 64/25
- So, 54/27 + 42/75 = 64/25
In mixed form: 214/25
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