Add 27/75 and 30/45
27/75 + 30/45 is 77/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
27/75 = 27 × 3/75 × 3 = 81/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
30/45 = 30 × 5/45 × 5 = 150/225 - Add the two like fractions:
81/225 + 150/225 = 81 + 150/225 = 231/225 - 231/225 simplified gives 77/75
- So, 27/75 + 30/45 = 77/75
In mixed form: 12/75
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