Add 10/75 and 54/16, Solve 10/75 + 3 6/16 as a fraction

Add 10/75 and 54/16

1^st number: 10/75, 2^nd number: 3 6/16

10/75 + 54/16 is 421/120.

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,
10/75 = 10 × 16/75 × 16 = 160/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
54/16 = 54 × 75/16 × 75 = 4050/1200
Add the two like fractions:
160/1200 + 4050/1200 = 160 + 4050/1200 = 4210/1200
4210/1200 simplified gives 421/120
So, 10/75 + 54/16 = 421/120
In mixed form: 361/120

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