Add 27/42 and 72/75
27/42 + 72/75 is 561/350.
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,
72/75 = 72 × 14/75 × 14 = 1008/1050 - Add the two like fractions:
675/1050 + 1008/1050 = 675 + 1008/1050 = 1683/1050 - 1683/1050 simplified gives 561/350
- So, 27/42 + 72/75 = 561/350
In mixed form: 1211/350
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