Add 9/4 and 75/81
1st number: 2 1/4, 2nd number: 75/81
9/4 + 75/81 is 343/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 81 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 4 × 81 = 324,
9/4 = 9 × 81/4 × 81 = 729/324 - Likewise, for the 2nd fraction, since 81 × 4 = 324,
75/81 = 75 × 4/81 × 4 = 300/324 - Add the two like fractions:
729/324 + 300/324 = 729 + 300/324 = 1029/324 - 1029/324 simplified gives 343/108
- So, 9/4 + 75/81 = 343/108
In mixed form: 319/108
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