Add 70/84 and 49/81
70/84 + 49/81 is 233/162.
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,
70/84 = 70 × 27/84 × 27 = 1890/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
49/81 = 49 × 28/81 × 28 = 1372/2268 - Add the two like fractions:
1890/2268 + 1372/2268 = 1890 + 1372/2268 = 3262/2268 - 3262/2268 simplified gives 233/162
- So, 70/84 + 49/81 = 233/162
In mixed form: 171/162
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