Add 30/45 and 9/12
30/45 + 9/12 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
9/12 = 9 × 15/12 × 15 = 135/180 - Add the two like fractions:
120/180 + 135/180 = 120 + 135/180 = 255/180 - 255/180 simplified gives 17/12
- So, 30/45 + 9/12 = 17/12
In mixed form: 15/12
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