Add 8/12 and 20/45
8/12 + 20/45 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
8/12 = 8 × 15/12 × 15 = 120/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
20/45 = 20 × 4/45 × 4 = 80/180 - Add the two like fractions:
120/180 + 80/180 = 120 + 80/180 = 200/180 - 200/180 simplified gives 10/9
- So, 8/12 + 20/45 = 10/9
In mixed form: 11/9
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