Add 14/64 and 49/54
14/64 + 49/54 is 973/864.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 54 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 64 × 27 = 1728,
14/64 = 14 × 27/64 × 27 = 378/1728 - Likewise, for the 2nd fraction, since 54 × 32 = 1728,
49/54 = 49 × 32/54 × 32 = 1568/1728 - Add the two like fractions:
378/1728 + 1568/1728 = 378 + 1568/1728 = 1946/1728 - 1946/1728 simplified gives 973/864
- So, 14/64 + 49/54 = 973/864
In mixed form: 1109/864
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/64+49/54 14/64+98/54 42/64+49/54 70/64+49/54 98/64+49/54