Add 75/54 and 84/56, Solve 1 21/54 + 1 28/56 as a fraction

Add 75/54 and 84/56

1^st number: 1 21/54, 2^nd number: 1 28/56

75/54 + 84/56 is 26/9.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 54 × 28 = 1512,
75/54 = 75 × 28/54 × 28 = 2100/1512
Likewise, for the 2nd fraction, since 56 × 27 = 1512,
84/56 = 84 × 27/56 × 27 = 2268/1512
Add the two like fractions:
2100/1512 + 2268/1512 = 2100 + 2268/1512 = 4368/1512
4368/1512 simplified gives 26/9
So, 75/54 + 84/56 = 26/9
In mixed form: 28/9

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