Add 40/12 and 28/9
1st number: 3 4/12, 2nd number: 3 1/9
40/12 + 28/9 is 58/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
40/12 = 40 × 3/12 × 3 = 120/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
28/9 = 28 × 4/9 × 4 = 112/36 - Add the two like fractions:
120/36 + 112/36 = 120 + 112/36 = 232/36 - 232/36 simplified gives 58/9
- So, 40/12 + 28/9 = 58/9
In mixed form: 64/9
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