Add 36/56 and 75/54, Solve 36/56 + 1 21/54 as a fraction

Add 36/56 and 75/54

1^st number: 36/56, 2^nd number: 1 21/54

36/56 + 75/54 is 128/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 56 × 27 = 1512,
36/56 = 36 × 27/56 × 27 = 972/1512
Likewise, for the 2nd fraction, since 54 × 28 = 1512,
75/54 = 75 × 28/54 × 28 = 2100/1512
Add the two like fractions:
972/1512 + 2100/1512 = 972 + 2100/1512 = 3072/1512
3072/1512 simplified gives 128/63
So, 36/56 + 75/54 = 128/63
In mixed form: 22/63

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