Add 10/12 and 20/81
10/12 + 20/81 is 175/162.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 12 × 27 = 324,
10/12 = 10 × 27/12 × 27 = 270/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
20/81 = 20 × 4/81 × 4 = 80/324 - Add the two like fractions:
270/324 + 80/324 = 270 + 80/324 = 350/324 - 350/324 simplified gives 175/162
- So, 10/12 + 20/81 = 175/162
In mixed form: 113/162
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