Add 3/27 and 30/64
3/27 + 30/64 is 167/288.
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,
3/27 = 3 × 64/27 × 64 = 192/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Add the two like fractions:
192/1728 + 810/1728 = 192 + 810/1728 = 1002/1728 - 1002/1728 simplified gives 167/288
- So, 3/27 + 30/64 = 167/288
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