Add 30/75 and 81/16, Solve 30/75 + 5 1/16 as a fraction

Add 30/75 and 81/16

1^st number: 30/75, 2^nd number: 5 1/16

30/75 + 81/16 is 437/80.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
81/16 = 81 × 75/16 × 75 = 6075/1200
Add the two like fractions:
480/1200 + 6075/1200 = 480 + 6075/1200 = 6555/1200
6555/1200 simplified gives 437/80
So, 30/75 + 81/16 = 437/80
In mixed form: 537/80

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