Add 35/42 and 70/81
35/42 + 70/81 is 275/162.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 81 is 1134
Next, find the equivalent fraction of both fractional numbers with denominator 1134 - For the 1st fraction, since 42 × 27 = 1134,
35/42 = 35 × 27/42 × 27 = 945/1134 - Likewise, for the 2nd fraction, since 81 × 14 = 1134,
70/81 = 70 × 14/81 × 14 = 980/1134 - Add the two like fractions:
945/1134 + 980/1134 = 945 + 980/1134 = 1925/1134 - 1925/1134 simplified gives 275/162
- So, 35/42 + 70/81 = 275/162
In mixed form: 1113/162
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