Add 1/27 and 42/64
1/27 + 42/64 is 599/864.
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,
1/27 = 1 × 64/27 × 64 = 64/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
42/64 = 42 × 27/64 × 27 = 1134/1728 - Add the two like fractions:
64/1728 + 1134/1728 = 64 + 1134/1728 = 1198/1728 - 1198/1728 simplified gives 599/864
- So, 1/27 + 42/64 = 599/864
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