Add 40/27 and 21/28
1st number: 1 13/27, 2nd number: 21/28
40/27 + 21/28 is 241/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
40/27 = 40 × 28/27 × 28 = 1120/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
21/28 = 21 × 27/28 × 27 = 567/756 - Add the two like fractions:
1120/756 + 567/756 = 1120 + 567/756 = 1687/756 - 1687/756 simplified gives 241/108
- So, 40/27 + 21/28 = 241/108
In mixed form: 225/108
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