Add 75/27 and 3/42
1st number: 2 21/27, 2nd number: 3/42
75/27 + 3/42 is 359/126.
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,
75/27 = 75 × 14/27 × 14 = 1050/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
3/42 = 3 × 9/42 × 9 = 27/378 - Add the two like fractions:
1050/378 + 27/378 = 1050 + 27/378 = 1077/378 - 1077/378 simplified gives 359/126
- So, 75/27 + 3/42 = 359/126
In mixed form: 2107/126
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