Add 40/27 and 21/4
1st number: 1 13/27, 2nd number: 5 1/4
40/27 + 21/4 is 727/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 4 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 27 × 4 = 108,
40/27 = 40 × 4/27 × 4 = 160/108 - Likewise, for the 2nd fraction, since 4 × 27 = 108,
21/4 = 21 × 27/4 × 27 = 567/108 - Add the two like fractions:
160/108 + 567/108 = 160 + 567/108 = 727/108 - So, 40/27 + 21/4 = 727/108
In mixed form: 679/108
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