Add 40/12 and 28/45
1st number: 3 4/12, 2nd number: 28/45
40/12 + 28/45 is 178/45.
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,
40/12 = 40 × 15/12 × 15 = 600/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
28/45 = 28 × 4/45 × 4 = 112/180 - Add the two like fractions:
600/180 + 112/180 = 600 + 112/180 = 712/180 - 712/180 simplified gives 178/45
- So, 40/12 + 28/45 = 178/45
In mixed form: 343/45
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