Add 27/12 and 42/35
1st number: 2 3/12, 2nd number: 1 7/35
27/12 + 42/35 is 69/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
27/12 = 27 × 35/12 × 35 = 945/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
42/35 = 42 × 12/35 × 12 = 504/420 - Add the two like fractions:
945/420 + 504/420 = 945 + 504/420 = 1449/420 - 1449/420 simplified gives 69/20
- So, 27/12 + 42/35 = 69/20
In mixed form: 39/20
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