Add 30/12 and 20/9
1st number: 2 6/12, 2nd number: 2 2/9
30/12 + 20/9 is 85/18.
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,
30/12 = 30 × 3/12 × 3 = 90/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
20/9 = 20 × 4/9 × 4 = 80/36 - Add the two like fractions:
90/36 + 80/36 = 90 + 80/36 = 170/36 - 170/36 simplified gives 85/18
- So, 30/12 + 20/9 = 85/18
In mixed form: 413/18
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