Add 8/27 and 30/75
8/27 + 30/75 is 94/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 75 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 27 × 25 = 675,
8/27 = 8 × 25/27 × 25 = 200/675 - Likewise, for the 2nd fraction, since 75 × 9 = 675,
30/75 = 30 × 9/75 × 9 = 270/675 - Add the two like fractions:
200/675 + 270/675 = 200 + 270/675 = 470/675 - 470/675 simplified gives 94/135
- So, 8/27 + 30/75 = 94/135
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