Add 36/8 and 21/12, Solve 4 4/8 + 1 9/12 as a fraction

Add 36/8 and 21/12

1^st number: 4 4/8, 2^nd number: 1 9/12

36/8 + 21/12 is 25/4.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 12 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 8 × 3 = 24,
36/8 = 36 × 3/8 × 3 = 108/24
Likewise, for the 2nd fraction, since 12 × 2 = 24,
21/12 = 21 × 2/12 × 2 = 42/24
Add the two like fractions:
108/24 + 42/24 = 108 + 42/24 = 150/24
150/24 simplified gives 25/4
So, 36/8 + 21/12 = 25/4
In mixed form: 61/4

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