Add 54/75 and 27/16, Solve 54/75 + 1 11/16 as a fraction

Add 54/75 and 27/16

1^st number: 54/75, 2^nd number: 1 11/16

54/75 + 27/16 is 963/400.

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,
54/75 = 54 × 16/75 × 16 = 864/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
27/16 = 27 × 75/16 × 75 = 2025/1200
Add the two like fractions:
864/1200 + 2025/1200 = 864 + 2025/1200 = 2889/1200
2889/1200 simplified gives 963/400
So, 54/75 + 27/16 = 963/400
In mixed form: 2163/400

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