Add 84/24 and 45/27
1st number: 3 12/24, 2nd number: 1 18/27
84/24 + 45/27 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
84/24 = 84 × 9/24 × 9 = 756/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
45/27 = 45 × 8/27 × 8 = 360/216 - Add the two like fractions:
756/216 + 360/216 = 756 + 360/216 = 1116/216 - 1116/216 simplified gives 31/6
- So, 84/24 + 45/27 = 31/6
In mixed form: 51/6
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