Add 27/42 and 30/35
27/42 + 30/35 is 3/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
27/42 = 27 × 5/42 × 5 = 135/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
30/35 = 30 × 6/35 × 6 = 180/210 - Add the two like fractions:
135/210 + 180/210 = 135 + 180/210 = 315/210 - 315/210 simplified gives 3/2
- So, 27/42 + 30/35 = 3/2
In mixed form: 11/2
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