Add 32/9 and 45/20
1st number: 3 5/9, 2nd number: 2 5/20
32/9 + 45/20 is 209/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
32/9 = 32 × 20/9 × 20 = 640/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
45/20 = 45 × 9/20 × 9 = 405/180 - Add the two like fractions:
640/180 + 405/180 = 640 + 405/180 = 1045/180 - 1045/180 simplified gives 209/36
- So, 32/9 + 45/20 = 209/36
In mixed form: 529/36
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