Add 30/36 and 12/16
30/36 + 12/16 is 19/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
30/36 = 30 × 4/36 × 4 = 120/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Add the two like fractions:
120/144 + 108/144 = 120 + 108/144 = 228/144 - 228/144 simplified gives 19/12
- So, 30/36 + 12/16 = 19/12
In mixed form: 17/12
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