Add 4/81 and 70/84
4/81 + 70/84 is 143/162.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 84 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 81 × 28 = 2268,
4/81 = 4 × 28/81 × 28 = 112/2268 - Likewise, for the 2nd fraction, since 84 × 27 = 2268,
70/84 = 70 × 27/84 × 27 = 1890/2268 - Add the two like fractions:
112/2268 + 1890/2268 = 112 + 1890/2268 = 2002/2268 - 2002/2268 simplified gives 143/162
- So, 4/81 + 70/84 = 143/162
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