Add 30/45 and 9/4, Solve 30/45 + 2 1/4 as a fraction

Add 30/45 and 9/4

1^st number: 30/45, 2^nd number: 2 1/4

30/45 + 9/4 is 35/12.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180
Likewise, for the 2nd fraction, since 4 × 45 = 180,
9/4 = 9 × 45/4 × 45 = 405/180
Add the two like fractions:
120/180 + 405/180 = 120 + 405/180 = 525/180
525/180 simplified gives 35/12
So, 30/45 + 9/4 = 35/12
In mixed form: 211/12

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