Add 35/28 and 40/9
1st number: 1 7/28, 2nd number: 4 4/9
35/28 + 40/9 is 205/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 28 × 9 = 252,
35/28 = 35 × 9/28 × 9 = 315/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
40/9 = 40 × 28/9 × 28 = 1120/252 - Add the two like fractions:
315/252 + 1120/252 = 315 + 1120/252 = 1435/252 - 1435/252 simplified gives 205/36
- So, 35/28 + 40/9 = 205/36
In mixed form: 525/36
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