Add 16/9 and 45/35, Solve 1 7/9 + 1 10/35 as a fraction

Add 16/9 and 45/35

1^st number: 1 7/9, 2^nd number: 1 10/35

16/9 + 45/35 is 193/63.

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,
16/9 = 16 × 35/9 × 35 = 560/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
45/35 = 45 × 9/35 × 9 = 405/315
Add the two like fractions:
560/315 + 405/315 = 560 + 405/315 = 965/315
965/315 simplified gives 193/63
So, 16/9 + 45/35 = 193/63
In mixed form: 34/63

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