Add 30/36 and 40/56
30/36 + 40/56 is 65/42.
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,
40/56 = 40 × 9/56 × 9 = 360/504 - Add the two like fractions:
420/504 + 360/504 = 420 + 360/504 = 780/504 - 780/504 simplified gives 65/42
- So, 30/36 + 40/56 = 65/42
In mixed form: 123/42
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