Add 30/35 and 42/36, Solve 30/35 + 1 6/36 as a fraction

Add 30/35 and 42/36

1^st number: 30/35, 2^nd number: 1 6/36

30/35 + 42/36 is 85/42.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 36 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 35 × 36 = 1260,
30/35 = 30 × 36/35 × 36 = 1080/1260
Likewise, for the 2nd fraction, since 36 × 35 = 1260,
42/36 = 42 × 35/36 × 35 = 1470/1260
Add the two like fractions:
1080/1260 + 1470/1260 = 1080 + 1470/1260 = 2550/1260
2550/1260 simplified gives 85/42
So, 30/35 + 42/36 = 85/42
In mixed form: 21/42

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