Add 27/84 and 40/9
1st number: 27/84, 2nd number: 4 4/9
27/84 + 40/9 is 1201/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
27/84 = 27 × 3/84 × 3 = 81/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
81/252 + 1120/252 = 81 + 1120/252 = 1201/252 - So, 27/84 + 40/9 = 1201/252
In mixed form: 4193/252
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