Add 27/12 and 40/7
1st number: 2 3/12, 2nd number: 5 5/7
27/12 + 40/7 is 223/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
27/12 = 27 × 7/12 × 7 = 189/84 - Likewise, for the 2nd fraction, since 7 × 12 = 84,
40/7 = 40 × 12/7 × 12 = 480/84 - Add the two like fractions:
189/84 + 480/84 = 189 + 480/84 = 669/84 - 669/84 simplified gives 223/28
- So, 27/12 + 40/7 = 223/28
In mixed form: 727/28
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