Add 40/84 and 21/9
1st number: 40/84, 2nd number: 2 3/9
40/84 + 21/9 is 59/21.
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,
40/84 = 40 × 3/84 × 3 = 120/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
21/9 = 21 × 28/9 × 28 = 588/252 - Add the two like fractions:
120/252 + 588/252 = 120 + 588/252 = 708/252 - 708/252 simplified gives 59/21
- So, 40/84 + 21/9 = 59/21
In mixed form: 217/21
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