Add 15/4 and 27/45, Solve 3 3/4 + 27/45 as a fraction

Add 15/4 and 27/45

1^st number: 3 3/4, 2^nd number: 27/45

15/4 + 27/45 is 87/20.

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

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 4 × 45 = 180,
15/4 = 15 × 45/4 × 45 = 675/180
Likewise, for the 2nd fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180
Add the two like fractions:
675/180 + 108/180 = 675 + 108/180 = 783/180
783/180 simplified gives 87/20
So, 15/4 + 27/45 = 87/20
In mixed form: 47/20

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