Add 18/27 and 30/64
18/27 + 30/64 is 109/96.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 27 × 64 = 1728,
18/27 = 18 × 64/27 × 64 = 1152/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Add the two like fractions:
1152/1728 + 810/1728 = 1152 + 810/1728 = 1962/1728 - 1962/1728 simplified gives 109/96
- So, 18/27 + 30/64 = 109/96
In mixed form: 113/96
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