Add 45/14 and 63/27, Solve 3 3/14 + 2 9/27 as a fraction

Add 45/14 and 63/27

1^st number: 3 3/14, 2^nd number: 2 9/27

45/14 + 63/27 is 233/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
45/14 = 45 × 27/14 × 27 = 1215/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
63/27 = 63 × 14/27 × 14 = 882/378
Add the two like fractions:
1215/378 + 882/378 = 1215 + 882/378 = 2097/378
2097/378 simplified gives 233/42
So, 45/14 + 63/27 = 233/42
In mixed form: 523/42

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