Add 45/42 and 63/54, Solve 1 3/42 + 1 9/54 as a fraction

Add 45/42 and 63/54

1^st number: 1 3/42, 2^nd number: 1 9/54

45/42 + 63/54 is 47/21.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378
Likewise, for the 2nd fraction, since 54 × 7 = 378,
63/54 = 63 × 7/54 × 7 = 441/378
Add the two like fractions:
405/378 + 441/378 = 405 + 441/378 = 846/378
846/378 simplified gives 47/21
So, 45/42 + 63/54 = 47/21
In mixed form: 25/21

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