Add 30/75 and 12/27
30/75 + 12/27 is 38/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
30/75 = 30 × 9/75 × 9 = 270/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
12/27 = 12 × 25/27 × 25 = 300/675 - Add the two like fractions:
270/675 + 300/675 = 270 + 300/675 = 570/675 - 570/675 simplified gives 38/45
- So, 30/75 + 12/27 = 38/45
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