Add 40/12 and 84/27
1st number: 3 4/12, 2nd number: 3 3/27
40/12 + 84/27 is 58/9.
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,
40/12 = 40 × 9/12 × 9 = 360/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
84/27 = 84 × 4/27 × 4 = 336/108 - Add the two like fractions:
360/108 + 336/108 = 360 + 336/108 = 696/108 - 696/108 simplified gives 58/9
- So, 40/12 + 84/27 = 58/9
In mixed form: 64/9
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