Add 75/27 and 54/42
1st number: 2 21/27, 2nd number: 1 12/42
75/27 + 54/42 is 256/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
54/42 = 54 × 9/42 × 9 = 486/378 - Add the two like fractions:
1050/378 + 486/378 = 1050 + 486/378 = 1536/378 - 1536/378 simplified gives 256/63
- So, 75/27 + 54/42 = 256/63
In mixed form: 44/63
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