Add 9/4 and 45/27, Solve 2 1/4 + 1 18/27 as a fraction

Add 9/4 and 45/27

1^st number: 2 1/4, 2^nd number: 1 18/27

9/4 + 45/27 is 47/12.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108

Next, find the equivalent fraction of both fractional numbers with denominator 108
For the 1st fraction, since 4 × 27 = 108,
9/4 = 9 × 27/4 × 27 = 243/108
Likewise, for the 2nd fraction, since 27 × 4 = 108,
45/27 = 45 × 4/27 × 4 = 180/108
Add the two like fractions:
243/108 + 180/108 = 243 + 180/108 = 423/108
423/108 simplified gives 47/12
So, 9/4 + 45/27 = 47/12
In mixed form: 311/12

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