Add 45/18 and 16/49, Solve 2 9/18 + 16/49 as a fraction

Add 45/18 and 16/49

1^st number: 2 9/18, 2^nd number: 16/49

45/18 + 16/49 is 277/98.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882

Next, find the equivalent fraction of both fractional numbers with denominator 882
For the 1st fraction, since 18 × 49 = 882,
45/18 = 45 × 49/18 × 49 = 2205/882
Likewise, for the 2nd fraction, since 49 × 18 = 882,
16/49 = 16 × 18/49 × 18 = 288/882
Add the two like fractions:
2205/882 + 288/882 = 2205 + 288/882 = 2493/882
2493/882 simplified gives 277/98
So, 45/18 + 16/49 = 277/98
In mixed form: 281/98

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