Add 42/56 and 35/36
42/56 + 35/36 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 36 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
42/56 = 42 × 9/56 × 9 = 378/504 - Likewise, for the 2nd fraction, since 36 × 14 = 504,
35/36 = 35 × 14/36 × 14 = 490/504 - Add the two like fractions:
378/504 + 490/504 = 378 + 490/504 = 868/504 - 868/504 simplified gives 31/18
- So, 42/56 + 35/36 = 31/18
In mixed form: 113/18
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