Add 14/9 and 40/84
1st number: 1 5/9, 2nd number: 40/84
14/9 + 40/84 is 128/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
14/9 = 14 × 28/9 × 28 = 392/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Add the two like fractions:
392/252 + 120/252 = 392 + 120/252 = 512/252 - 512/252 simplified gives 128/63
- So, 14/9 + 40/84 = 128/63
In mixed form: 22/63
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