Add 35/75 and 42/45
35/75 + 42/45 is 7/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 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 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Add the two like fractions:
105/225 + 210/225 = 105 + 210/225 = 315/225 - 315/225 simplified gives 7/5
- So, 35/75 + 42/45 = 7/5
In mixed form: 12/5
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