Add 30/64 and 40/54
30/64 + 40/54 is 1045/864.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 54 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Likewise, for the 2nd fraction, since 54 × 32 = 1728,
40/54 = 40 × 32/54 × 32 = 1280/1728 - Add the two like fractions:
810/1728 + 1280/1728 = 810 + 1280/1728 = 2090/1728 - 2090/1728 simplified gives 1045/864
- So, 30/64 + 40/54 = 1045/864
In mixed form: 1181/864
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