Add 8/49 and 75/54, Solve 8/49 + 1 21/54 as a fraction

Add 8/49 and 75/54

1^st number: 8/49, 2^nd number: 1 21/54

8/49 + 75/54 is 1369/882.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 54 is 2646

Next, find the equivalent fraction of both fractional numbers with denominator 2646
For the 1st fraction, since 49 × 54 = 2646,
8/49 = 8 × 54/49 × 54 = 432/2646
Likewise, for the 2nd fraction, since 54 × 49 = 2646,
75/54 = 75 × 49/54 × 49 = 3675/2646
Add the two like fractions:
432/2646 + 3675/2646 = 432 + 3675/2646 = 4107/2646
4107/2646 simplified gives 1369/882
So, 8/49 + 75/54 = 1369/882
In mixed form: 1487/882

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