Add 30/36 and 42/56
30/36 + 42/56 is 19/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 36 × 14 = 504,
30/36 = 30 × 14/36 × 14 = 420/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
42/56 = 42 × 9/56 × 9 = 378/504 - Add the two like fractions:
420/504 + 378/504 = 420 + 378/504 = 798/504 - 798/504 simplified gives 19/12
- So, 30/36 + 42/56 = 19/12
In mixed form: 17/12
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