Add 2/84 and 30/81
2/84 + 30/81 is 149/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
2/84 = 2 × 27/84 × 27 = 54/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
30/81 = 30 × 28/81 × 28 = 840/2268 - Add the two like fractions:
54/2268 + 840/2268 = 54 + 840/2268 = 894/2268 - 894/2268 simplified gives 149/378
- So, 2/84 + 30/81 = 149/378
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