Add 12/27 and 75/42
1st number: 12/27, 2nd number: 1 33/42
12/27 + 75/42 is 281/126.
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,
12/27 = 12 × 14/27 × 14 = 168/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
75/42 = 75 × 9/42 × 9 = 675/378 - Add the two like fractions:
168/378 + 675/378 = 168 + 675/378 = 843/378 - 843/378 simplified gives 281/126
- So, 12/27 + 75/42 = 281/126
In mixed form: 229/126
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