Add 27/42 and 35/75
27/42 + 35/75 is 233/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
27/42 = 27 × 25/42 × 25 = 675/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
35/75 = 35 × 14/75 × 14 = 490/1050 - Add the two like fractions:
675/1050 + 490/1050 = 675 + 490/1050 = 1165/1050 - 1165/1050 simplified gives 233/210
- So, 27/42 + 35/75 = 233/210
In mixed form: 123/210
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