Add 21/75 and 42/45
21/75 + 42/45 is 91/75.
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,
21/75 = 21 × 3/75 × 3 = 63/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Add the two like fractions:
63/225 + 210/225 = 63 + 210/225 = 273/225 - 273/225 simplified gives 91/75
- So, 21/75 + 42/45 = 91/75
In mixed form: 116/75
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