Add 30/16 and 10/9
1st number: 1 14/16, 2nd number: 1 1/9
30/16 + 10/9 is 215/72.
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,
10/9 = 10 × 16/9 × 16 = 160/144 - Add the two like fractions:
270/144 + 160/144 = 270 + 160/144 = 430/144 - 430/144 simplified gives 215/72
- So, 30/16 + 10/9 = 215/72
In mixed form: 271/72
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