Add 30/75 and 18/14, Solve 30/75 + 1 4/14 as a fraction

Add 30/75 and 18/14

1^st number: 30/75, 2^nd number: 1 4/14

30/75 + 18/14 is 59/35.

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,
18/14 = 18 × 75/14 × 75 = 1350/1050
Add the two like fractions:
420/1050 + 1350/1050 = 420 + 1350/1050 = 1770/1050
1770/1050 simplified gives 59/35
So, 30/75 + 18/14 = 59/35
In mixed form: 124/35

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