Add 40/32 and 12/9
1st number: 1 8/32, 2nd number: 1 3/9
40/32 + 12/9 is 31/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 9 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
40/32 = 40 × 9/32 × 9 = 360/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
12/9 = 12 × 32/9 × 32 = 384/288 - Add the two like fractions:
360/288 + 384/288 = 360 + 384/288 = 744/288 - 744/288 simplified gives 31/12
- So, 40/32 + 12/9 = 31/12
In mixed form: 27/12
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