Add 12/35 and 42/27
1st number: 12/35, 2nd number: 1 15/27
12/35 + 42/27 is 598/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 35 × 27 = 945,
12/35 = 12 × 27/35 × 27 = 324/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
42/27 = 42 × 35/27 × 35 = 1470/945 - Add the two like fractions:
324/945 + 1470/945 = 324 + 1470/945 = 1794/945 - 1794/945 simplified gives 598/315
- So, 12/35 + 42/27 = 598/315
In mixed form: 1283/315
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