Add 84/28 and 40/9
1st number: 3 0/28, 2nd number: 4 4/9
84/28 + 40/9 is 67/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
84/28 = 84 × 9/28 × 9 = 756/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
756/252 + 1120/252 = 756 + 1120/252 = 1876/252 - 1876/252 simplified gives 67/9
- So, 84/28 + 40/9 = 67/9
In mixed form: 74/9
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