Add 40/75 and 32/9
1st number: 40/75, 2nd number: 3 5/9
40/75 + 32/9 is 184/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
40/75 = 40 × 3/75 × 3 = 120/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
32/9 = 32 × 25/9 × 25 = 800/225 - Add the two like fractions:
120/225 + 800/225 = 120 + 800/225 = 920/225 - 920/225 simplified gives 184/45
- So, 40/75 + 32/9 = 184/45
In mixed form: 44/45
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