Add 40/12 and 7/9
1st number: 3 4/12, 2nd number: 7/9
40/12 + 7/9 is 37/9.
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,
7/9 = 7 × 4/9 × 4 = 28/36 - Add the two like fractions:
120/36 + 28/36 = 120 + 28/36 = 148/36 - 148/36 simplified gives 37/9
- So, 40/12 + 7/9 = 37/9
In mixed form: 41/9
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