Add 28/75 and 42/45
28/75 + 42/45 is 98/75.
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,
28/75 = 28 × 3/75 × 3 = 84/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Add the two like fractions:
84/225 + 210/225 = 84 + 210/225 = 294/225 - 294/225 simplified gives 98/75
- So, 28/75 + 42/45 = 98/75
In mixed form: 123/75
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