Add 14/21 and 45/54
14/21 + 45/54 is 3/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 21 × 18 = 378,
14/21 = 14 × 18/21 × 18 = 252/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
45/54 = 45 × 7/54 × 7 = 315/378 - Add the two like fractions:
252/378 + 315/378 = 252 + 315/378 = 567/378 - 567/378 simplified gives 3/2
- So, 14/21 + 45/54 = 3/2
In mixed form: 11/2
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