Add 30/48 and 35/81
30/48 + 35/81 is 685/648.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 81 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 48 × 27 = 1296,
30/48 = 30 × 27/48 × 27 = 810/1296 - Likewise, for the 2nd fraction, since 81 × 16 = 1296,
35/81 = 35 × 16/81 × 16 = 560/1296 - Add the two like fractions:
810/1296 + 560/1296 = 810 + 560/1296 = 1370/1296 - 1370/1296 simplified gives 685/648
- So, 30/48 + 35/81 = 685/648
In mixed form: 137/648
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