Add 56/75 and 42/16, Solve 56/75 + 2 10/16 as a fraction

Add 56/75 and 42/16

1^st number: 56/75, 2^nd number: 2 10/16

56/75 + 42/16 is 2023/600.

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,
56/75 = 56 × 16/75 × 16 = 896/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
42/16 = 42 × 75/16 × 75 = 3150/1200
Add the two like fractions:
896/1200 + 3150/1200 = 896 + 3150/1200 = 4046/1200
4046/1200 simplified gives 2023/600
So, 56/75 + 42/16 = 2023/600
In mixed form: 3223/600

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