Add 21/14 and 40/27
1st number: 1 7/14, 2nd number: 1 13/27
21/14 + 40/27 is 161/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
21/14 = 21 × 27/14 × 27 = 567/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Add the two like fractions:
567/378 + 560/378 = 567 + 560/378 = 1127/378 - 1127/378 simplified gives 161/54
- So, 21/14 + 40/27 = 161/54
In mixed form: 253/54
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