Add 27/75 and 18/70
27/75 + 18/70 is 108/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 70 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
27/75 = 27 × 14/75 × 14 = 378/1050 - Likewise, for the 2nd fraction, since 70 × 15 = 1050,
18/70 = 18 × 15/70 × 15 = 270/1050 - Add the two like fractions:
378/1050 + 270/1050 = 378 + 270/1050 = 648/1050 - 648/1050 simplified gives 108/175
- So, 27/75 + 18/70 = 108/175
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