Add 40/9 and 35/84
1st number: 4 4/9, 2nd number: 35/84
40/9 + 35/84 is 175/36.
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,
40/9 = 40 × 28/9 × 28 = 1120/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Add the two like fractions:
1120/252 + 105/252 = 1120 + 105/252 = 1225/252 - 1225/252 simplified gives 175/36
- So, 40/9 + 35/84 = 175/36
In mixed form: 431/36
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