Add 8/12 and 28/45
8/12 + 28/45 is 58/45.
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,
28/45 = 28 × 4/45 × 4 = 112/180 - Add the two like fractions:
120/180 + 112/180 = 120 + 112/180 = 232/180 - 232/180 simplified gives 58/45
- So, 8/12 + 28/45 = 58/45
In mixed form: 113/45
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