Add 40/9 and 21/32, Solve 4 4/9 + 21/32 as a fraction

Add 40/9 and 21/32

1^st number: 4 4/9, 2^nd number: 21/32

40/9 + 21/32 is 1469/288.

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,
40/9 = 40 × 32/9 × 32 = 1280/288
Likewise, for the 2nd fraction, since 32 × 9 = 288,
21/32 = 21 × 9/32 × 9 = 189/288
Add the two like fractions:
1280/288 + 189/288 = 1280 + 189/288 = 1469/288
So, 40/9 + 21/32 = 1469/288
In mixed form: 529/288

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