Add 40/75 and 10/9, Solve 40/75 + 1 1/9 as a fraction

Add 40/75 and 10/9

1^st number: 40/75, 2^nd number: 1 1/9

40/75 + 10/9 is 74/45.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 9 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 9 × 25 = 225,
10/9 = 10 × 25/9 × 25 = 250/225
Add the two like fractions:
120/225 + 250/225 = 120 + 250/225 = 370/225
370/225 simplified gives 74/45
So, 40/75 + 10/9 = 74/45
In mixed form: 129/45

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