Add 14/9 and 75/35, Solve 1 5/9 + 2 5/35 as a fraction

Add 14/9 and 75/35

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

14/9 + 75/35 is 233/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 9 × 35 = 315,
14/9 = 14 × 35/9 × 35 = 490/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
75/35 = 75 × 9/35 × 9 = 675/315
Add the two like fractions:
490/315 + 675/315 = 490 + 675/315 = 1165/315
1165/315 simplified gives 233/63
So, 14/9 + 75/35 = 233/63
In mixed form: 344/63

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