Add 10/9 and 30/96, Solve 1 1/9 + 30/96 as a fraction

Add 10/9 and 30/96

1^st number: 1 1/9, 2^nd number: 30/96

10/9 + 30/96 is 205/144.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 96 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 96 × 3 = 288,
30/96 = 30 × 3/96 × 3 = 90/288
Add the two like fractions:
320/288 + 90/288 = 320 + 90/288 = 410/288
410/288 simplified gives 205/144
So, 10/9 + 30/96 = 205/144
In mixed form: 161/144

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