Add 36/12 and 40/27
1st number: 3 0/12, 2nd number: 1 13/27
36/12 + 40/27 is 121/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
36/12 = 36 × 9/12 × 9 = 324/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
40/27 = 40 × 4/27 × 4 = 160/108 - Add the two like fractions:
324/108 + 160/108 = 324 + 160/108 = 484/108 - 484/108 simplified gives 121/27
- So, 36/12 + 40/27 = 121/27
In mixed form: 413/27
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