Add 30/16 and 20/9
1st number: 1 14/16, 2nd number: 2 2/9
30/16 + 20/9 is 295/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
30/16 = 30 × 9/16 × 9 = 270/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
20/9 = 20 × 16/9 × 16 = 320/144 - Add the two like fractions:
270/144 + 320/144 = 270 + 320/144 = 590/144 - 590/144 simplified gives 295/72
- So, 30/16 + 20/9 = 295/72
In mixed form: 47/72
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