Add 27/84 and 30/75
27/84 + 30/75 is 101/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
27/84 = 27 × 25/84 × 25 = 675/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
30/75 = 30 × 28/75 × 28 = 840/2100 - Add the two like fractions:
675/2100 + 840/2100 = 675 + 840/2100 = 1515/2100 - 1515/2100 simplified gives 101/140
- So, 27/84 + 30/75 = 101/140
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