Add 40/12 and 30/81
1st number: 3 4/12, 2nd number: 30/81
40/12 + 30/81 is 100/27.
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,
40/12 = 40 × 27/12 × 27 = 1080/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
30/81 = 30 × 4/81 × 4 = 120/324 - Add the two like fractions:
1080/324 + 120/324 = 1080 + 120/324 = 1200/324 - 1200/324 simplified gives 100/27
- So, 40/12 + 30/81 = 100/27
In mixed form: 319/27
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