Add 30/42 and 30/27
1st number: 30/42, 2nd number: 1 3/27
30/42 + 30/27 is 115/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
30/27 = 30 × 14/27 × 14 = 420/378 - Add the two like fractions:
270/378 + 420/378 = 270 + 420/378 = 690/378 - 690/378 simplified gives 115/63
- So, 30/42 + 30/27 = 115/63
In mixed form: 152/63
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