Add 28/35 and 49/9, Solve 28/35 + 5 4/9 as a fraction

Add 28/35 and 49/9

1^st number: 28/35, 2^nd number: 5 4/9

28/35 + 49/9 is 281/45.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 35 × 9 = 315,
28/35 = 28 × 9/35 × 9 = 252/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
49/9 = 49 × 35/9 × 35 = 1715/315
Add the two like fractions:
252/315 + 1715/315 = 252 + 1715/315 = 1967/315
1967/315 simplified gives 281/45
So, 28/35 + 49/9 = 281/45
In mixed form: 611/45

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