Add 45/42 and 27/49, Solve 1 3/42 + 27/49 as a fraction

Add 45/42 and 27/49

1^st number: 1 3/42, 2^nd number: 27/49

45/42 + 27/49 is 159/98.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294

Next, find the equivalent fraction of both fractional numbers with denominator 294
For the 1st fraction, since 42 × 7 = 294,
45/42 = 45 × 7/42 × 7 = 315/294
Likewise, for the 2nd fraction, since 49 × 6 = 294,
27/49 = 27 × 6/49 × 6 = 162/294
Add the two like fractions:
315/294 + 162/294 = 315 + 162/294 = 477/294
477/294 simplified gives 159/98
So, 45/42 + 27/49 = 159/98
In mixed form: 161/98

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