Add 10/9 and 30/32, Solve 1 1/9 + 30/32 as a fraction

Add 10/9 and 30/32

1^st number: 1 1/9, 2^nd number: 30/32

10/9 + 30/32 is 295/144.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288

Next, find the equivalent fraction of both fractional numbers with denominator 288
For the 1st fraction, since 9 × 32 = 288,
10/9 = 10 × 32/9 × 32 = 320/288
Likewise, for the 2nd fraction, since 32 × 9 = 288,
30/32 = 30 × 9/32 × 9 = 270/288
Add the two like fractions:
320/288 + 270/288 = 320 + 270/288 = 590/288
590/288 simplified gives 295/144
So, 10/9 + 30/32 = 295/144
In mixed form: 27/144

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