Add 36/84 and 14/9
1st number: 36/84, 2nd number: 1 5/9
36/84 + 14/9 is 125/63.
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,
36/84 = 36 × 3/84 × 3 = 108/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
14/9 = 14 × 28/9 × 28 = 392/252 - Add the two like fractions:
108/252 + 392/252 = 108 + 392/252 = 500/252 - 500/252 simplified gives 125/63
- So, 36/84 + 14/9 = 125/63
In mixed form: 162/63
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