Add 40/9 and 10/75
1st number: 4 4/9, 2nd number: 10/75
40/9 + 10/75 is 206/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 9 × 25 = 225,
40/9 = 40 × 25/9 × 25 = 1000/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
10/75 = 10 × 3/75 × 3 = 30/225 - Add the two like fractions:
1000/225 + 30/225 = 1000 + 30/225 = 1030/225 - 1030/225 simplified gives 206/45
- So, 40/9 + 10/75 = 206/45
In mixed form: 426/45
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