Add 40/45 and 60/75
40/45 + 60/75 is 76/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
40/45 = 40 × 5/45 × 5 = 200/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
60/75 = 60 × 3/75 × 3 = 180/225 - Add the two like fractions:
200/225 + 180/225 = 200 + 180/225 = 380/225 - 380/225 simplified gives 76/45
- So, 40/45 + 60/75 = 76/45
In mixed form: 131/45
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