Add 10/9 and 35/28
1st number: 1 1/9, 2nd number: 1 7/28
10/9 + 35/28 is 85/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
10/9 = 10 × 28/9 × 28 = 280/252 - Likewise, for the 2nd fraction, since 28 × 9 = 252,
35/28 = 35 × 9/28 × 9 = 315/252 - Add the two like fractions:
280/252 + 315/252 = 280 + 315/252 = 595/252 - 595/252 simplified gives 85/36
- So, 10/9 + 35/28 = 85/36
In mixed form: 213/36
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