Add 27/75 and 54/42
1st number: 27/75, 2nd number: 1 12/42
27/75 + 54/42 is 288/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
27/75 = 27 × 14/75 × 14 = 378/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
54/42 = 54 × 25/42 × 25 = 1350/1050 - Add the two like fractions:
378/1050 + 1350/1050 = 378 + 1350/1050 = 1728/1050 - 1728/1050 simplified gives 288/175
- So, 27/75 + 54/42 = 288/175
In mixed form: 1113/175
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