Add 10/9 and 40/75
1st number: 1 1/9, 2nd number: 40/75
10/9 + 40/75 is 74/45.
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,
10/9 = 10 × 25/9 × 25 = 250/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
40/75 = 40 × 3/75 × 3 = 120/225 - Add the two like fractions:
250/225 + 120/225 = 250 + 120/225 = 370/225 - 370/225 simplified gives 74/45
- So, 10/9 + 40/75 = 74/45
In mixed form: 129/45
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