Add 27/12 and 40/45
1st number: 2 3/12, 2nd number: 40/45
27/12 + 40/45 is 113/36.
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,
27/12 = 27 × 15/12 × 15 = 405/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Add the two like fractions:
405/180 + 160/180 = 405 + 160/180 = 565/180 - 565/180 simplified gives 113/36
- So, 27/12 + 40/45 = 113/36
In mixed form: 35/36
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