Add 30/45 and 40/75
30/45 + 40/75 is 6/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 75 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 45 × 5 = 225,
30/45 = 30 × 5/45 × 5 = 150/225 - Likewise, for the 2nd fraction, since 75 × 3 = 225,
40/75 = 40 × 3/75 × 3 = 120/225 - Add the two like fractions:
150/225 + 120/225 = 150 + 120/225 = 270/225 - 270/225 simplified gives 6/5
- So, 30/45 + 40/75 = 6/5
In mixed form: 11/5
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