Add 4/12 and 75/27
1st number: 4/12, 2nd number: 2 21/27
4/12 + 75/27 is 28/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
4/12 = 4 × 9/12 × 9 = 36/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
75/27 = 75 × 4/27 × 4 = 300/108 - Add the two like fractions:
36/108 + 300/108 = 36 + 300/108 = 336/108 - 336/108 simplified gives 28/9
- So, 4/12 + 75/27 = 28/9
In mixed form: 31/9
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