Add 30/32 and 10/9
1st number: 30/32, 2nd number: 1 1/9
30/32 + 10/9 is 295/144.
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,
30/32 = 30 × 9/32 × 9 = 270/288 - Likewise, for the 2nd fraction, since 9 × 32 = 288,
10/9 = 10 × 32/9 × 32 = 320/288 - Add the two like fractions:
270/288 + 320/288 = 270 + 320/288 = 590/288 - 590/288 simplified gives 295/144
- So, 30/32 + 10/9 = 295/144
In mixed form: 27/144
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