Add 72/28 and 4/45, Solve 2 16/28 + 4/45 as a fraction

Add 72/28 and 4/45

1^st number: 2 16/28, 2^nd number: 4/45

72/28 + 4/45 is 838/315.

Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260

Next, find the equivalent fraction of both fractional numbers with denominator 1260
For the 1st fraction, since 28 × 45 = 1260,
72/28 = 72 × 45/28 × 45 = 3240/1260
Likewise, for the 2nd fraction, since 45 × 28 = 1260,
4/45 = 4 × 28/45 × 28 = 112/1260
Add the two like fractions:
3240/1260 + 112/1260 = 3240 + 112/1260 = 3352/1260
3352/1260 simplified gives 838/315
So, 72/28 + 4/45 = 838/315
In mixed form: 2208/315

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