Add 10/49 and 30/81
10/49 + 30/81 is 760/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 81 is 3969
Next, find the equivalent fraction of both fractional numbers with denominator 3969 - For the 1st fraction, since 49 × 81 = 3969,
10/49 = 10 × 81/49 × 81 = 810/3969 - Likewise, for the 2nd fraction, since 81 × 49 = 3969,
30/81 = 30 × 49/81 × 49 = 1470/3969 - Add the two like fractions:
810/3969 + 1470/3969 = 810 + 1470/3969 = 2280/3969 - 2280/3969 simplified gives 760/1323
- So, 10/49 + 30/81 = 760/1323
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