Add 4/27 and 30/64
4/27 + 30/64 is 533/864.
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,
4/27 = 4 × 64/27 × 64 = 256/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Add the two like fractions:
256/1728 + 810/1728 = 256 + 810/1728 = 1066/1728 - 1066/1728 simplified gives 533/864
- So, 4/27 + 30/64 = 533/864
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