Add 40/75 and 32/45
40/75 + 32/45 is 56/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 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 45 × 5 = 225,
32/45 = 32 × 5/45 × 5 = 160/225 - Add the two like fractions:
120/225 + 160/225 = 120 + 160/225 = 280/225 - 280/225 simplified gives 56/45
- So, 40/75 + 32/45 = 56/45
In mixed form: 111/45
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