Add 84/32 and 49/9, Solve 2 20/32 + 5 4/9 as a fraction

Add 84/32 and 49/9

1^st number: 2 20/32, 2^nd number: 5 4/9

84/32 + 49/9 is 581/72.

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,
84/32 = 84 × 9/32 × 9 = 756/288
Likewise, for the 2nd fraction, since 9 × 32 = 288,
49/9 = 49 × 32/9 × 32 = 1568/288
Add the two like fractions:
756/288 + 1568/288 = 756 + 1568/288 = 2324/288
2324/288 simplified gives 581/72
So, 84/32 + 49/9 = 581/72
In mixed form: 85/72

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