Add 10/75 and 30/16, Solve 10/75 + 1 14/16 as a fraction

Add 10/75 and 30/16

1^st number: 10/75, 2^nd number: 1 14/16

10/75 + 30/16 is 241/120.

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,
30/16 = 30 × 75/16 × 75 = 2250/1200
Add the two like fractions:
160/1200 + 2250/1200 = 160 + 2250/1200 = 2410/1200
2410/1200 simplified gives 241/120
So, 10/75 + 30/16 = 241/120
In mixed form: 21/120

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