Add 35/9 and 40/84
1st number: 3 8/9, 2nd number: 40/84
35/9 + 40/84 is 275/63.
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,
35/9 = 35 × 28/9 × 28 = 980/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
40/84 = 40 × 3/84 × 3 = 120/252 - Add the two like fractions:
980/252 + 120/252 = 980 + 120/252 = 1100/252 - 1100/252 simplified gives 275/63
- So, 35/9 + 40/84 = 275/63
In mixed form: 423/63
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