Add 30/32 and 40/9, Solve 30/32 + 4 4/9 as a fraction

Add 30/32 and 40/9

1^st number: 30/32, 2^nd number: 4 4/9

30/32 + 40/9 is 775/144.

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,
40/9 = 40 × 32/9 × 32 = 1280/288
Add the two like fractions:
270/288 + 1280/288 = 270 + 1280/288 = 1550/288
1550/288 simplified gives 775/144
So, 30/32 + 40/9 = 775/144
In mixed form: 555/144

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