Add 35/75 and 8/9
35/75 + 8/9 is 61/45.
Steps for adding fractions
- 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,
35/75 = 35 × 3/75 × 3 = 105/225 - Likewise, for the 2nd fraction, since 9 × 25 = 225,
8/9 = 8 × 25/9 × 25 = 200/225 - Add the two like fractions:
105/225 + 200/225 = 105 + 200/225 = 305/225 - 305/225 simplified gives 61/45
- So, 35/75 + 8/9 = 61/45
In mixed form: 116/45
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