Add 35/9 and 30/75
1st number: 3 8/9, 2nd number: 30/75
35/9 + 30/75 is 193/45.
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,
35/9 = 35 × 25/9 × 25 = 875/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
30/75 = 30 × 3/75 × 3 = 90/225 - Add the two like fractions:
875/225 + 90/225 = 875 + 90/225 = 965/225 - 965/225 simplified gives 193/45
- So, 35/9 + 30/75 = 193/45
In mixed form: 413/45
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