Add 3/54 and 63/64
3/54 + 63/64 is 599/576.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 54 × 32 = 1728,
3/54 = 3 × 32/54 × 32 = 96/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
63/64 = 63 × 27/64 × 27 = 1701/1728 - Add the two like fractions:
96/1728 + 1701/1728 = 96 + 1701/1728 = 1797/1728 - 1797/1728 simplified gives 599/576
- So, 3/54 + 63/64 = 599/576
In mixed form: 123/576
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