Add 40/12 and 27/45
1st number: 3 4/12, 2nd number: 27/45
40/12 + 27/45 is 59/15.
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,
27/45 = 27 × 4/45 × 4 = 108/180 - Add the two like fractions:
600/180 + 108/180 = 600 + 108/180 = 708/180 - 708/180 simplified gives 59/15
- So, 40/12 + 27/45 = 59/15
In mixed form: 314/15
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