Add 30/75 and 49/18, Solve 30/75 + 2 13/18 as a fraction

Add 30/75 and 49/18

1^st number: 30/75, 2^nd number: 2 13/18

30/75 + 49/18 is 281/90.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 75 × 6 = 450,
30/75 = 30 × 6/75 × 6 = 180/450
Likewise, for the 2nd fraction, since 18 × 25 = 450,
49/18 = 49 × 25/18 × 25 = 1225/450
Add the two like fractions:
180/450 + 1225/450 = 180 + 1225/450 = 1405/450
1405/450 simplified gives 281/90
So, 30/75 + 49/18 = 281/90
In mixed form: 311/90

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