Add 30/14 and 75/27
1st number: 2 2/14, 2nd number: 2 21/27
30/14 + 75/27 is 310/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
30/14 = 30 × 27/14 × 27 = 810/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
75/27 = 75 × 14/27 × 14 = 1050/378 - Add the two like fractions:
810/378 + 1050/378 = 810 + 1050/378 = 1860/378 - 1860/378 simplified gives 310/63
- So, 30/14 + 75/27 = 310/63
In mixed form: 458/63
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