Add 4/75 and 30/16, Solve 4/75 + 1 14/16 as a fraction

Add 4/75 and 30/16

1^st number: 4/75, 2^nd number: 1 14/16

4/75 + 30/16 is 1157/600.

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,
4/75 = 4 × 16/75 × 16 = 64/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
30/16 = 30 × 75/16 × 75 = 2250/1200
Add the two like fractions:
64/1200 + 2250/1200 = 64 + 2250/1200 = 2314/1200
2314/1200 simplified gives 1157/600
So, 4/75 + 30/16 = 1157/600
In mixed form: 1557/600

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