Add 40/12 and 10/27
1st number: 3 4/12, 2nd number: 10/27
40/12 + 10/27 is 100/27.
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,
40/12 = 40 × 9/12 × 9 = 360/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
10/27 = 10 × 4/27 × 4 = 40/108 - Add the two like fractions:
360/108 + 40/108 = 360 + 40/108 = 400/108 - 400/108 simplified gives 100/27
- So, 40/12 + 10/27 = 100/27
In mixed form: 319/27
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