Add 1/35 and 42/9, Solve 1/35 + 4 6/9 as a fraction

Add 1/35 and 42/9

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

1/35 + 42/9 is 493/105.

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,
1/35 = 1 × 9/35 × 9 = 9/315
Likewise, for the 2nd fraction, since 9 × 35 = 315,
42/9 = 42 × 35/9 × 35 = 1470/315
Add the two like fractions:
9/315 + 1470/315 = 9 + 1470/315 = 1479/315
1479/315 simplified gives 493/105
So, 1/35 + 42/9 = 493/105
In mixed form: 473/105

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