Add 30/75 and 30/14, Solve 30/75 + 2 2/14 as a fraction

Add 30/75 and 30/14

1^st number: 30/75, 2^nd number: 2 2/14

30/75 + 30/14 is 89/35.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 14 is 1050

Next, find the equivalent fraction of both fractional numbers with denominator 1050
For the 1st fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050
Likewise, for the 2nd fraction, since 14 × 75 = 1050,
30/14 = 30 × 75/14 × 75 = 2250/1050
Add the two like fractions:
420/1050 + 2250/1050 = 420 + 2250/1050 = 2670/1050
2670/1050 simplified gives 89/35
So, 30/75 + 30/14 = 89/35
In mixed form: 219/35

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