Add 30/10 and 28/27
1st number: 3 0/10, 2nd number: 1 1/27
30/10 + 28/27 is 109/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 10 × 27 = 270,
30/10 = 30 × 27/10 × 27 = 810/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
28/27 = 28 × 10/27 × 10 = 280/270 - Add the two like fractions:
810/270 + 280/270 = 810 + 280/270 = 1090/270 - 1090/270 simplified gives 109/27
- So, 30/10 + 28/27 = 109/27
In mixed form: 41/27
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