Add 42/9 and 9/35, Solve 4 6/9 + 9/35 as a fraction

Add 42/9 and 9/35

1^st number: 4 6/9, 2^nd number: 9/35

42/9 + 9/35 is 517/105.

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,
42/9 = 42 × 35/9 × 35 = 1470/315
Likewise, for the 2nd fraction, since 35 × 9 = 315,
9/35 = 9 × 9/35 × 9 = 81/315
Add the two like fractions:
1470/315 + 81/315 = 1470 + 81/315 = 1551/315
1551/315 simplified gives 517/105
So, 42/9 + 9/35 = 517/105
In mixed form: 497/105

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