Add 30/75 and 42/45
30/75 + 42/45 is 4/3.
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,
30/75 = 30 × 3/75 × 3 = 90/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Add the two like fractions:
90/225 + 210/225 = 90 + 210/225 = 300/225 - 300/225 simplified gives 4/3
- So, 30/75 + 42/45 = 4/3
In mixed form: 11/3
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