Add 40/45 and 70/75
40/45 + 70/75 is 82/45.
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,
70/75 = 70 × 3/75 × 3 = 210/225 - Add the two like fractions:
200/225 + 210/225 = 200 + 210/225 = 410/225 - 410/225 simplified gives 82/45
- So, 40/45 + 70/75 = 82/45
In mixed form: 137/45
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