Add 49/27 and 30/64
1st number: 1 22/27, 2nd number: 30/64
49/27 + 30/64 is 1973/864.
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,
49/27 = 49 × 64/27 × 64 = 3136/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
30/64 = 30 × 27/64 × 27 = 810/1728 - Add the two like fractions:
3136/1728 + 810/1728 = 3136 + 810/1728 = 3946/1728 - 3946/1728 simplified gives 1973/864
- So, 49/27 + 30/64 = 1973/864
In mixed form: 2245/864
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